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Finding the Third Proportional to 11,646 and 26,823

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Solution

The third proportional to 11,646 and 26,823 is: 61,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 26,823 = 26,823 : x
  2. Step 2: Convert to fraction form
    11,646/26,823 = 26,823/x
  3. Step 3: Cross multiply
    11,646x = 26,823 × 26,823
  4. Step 4: Simplify right side
    11,646x = 719,473,329
  5. Step 5: Solve for x
    x = 719,473,329/11,646
  6. Step 6: Final answer
    x = 61,778.58

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.