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Finding the Third Proportional to 10,815 and 26,175.75

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Solution

The third proportional to 10,815 and 26,175.75 is: 63,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815 : 26,175.75 = 26,175.75 : x
  2. Step 2: Convert to fraction form
    10,815/26,175.75 = 26,175.75/x
  3. Step 3: Cross multiply
    10,815x = 26,175.75 × 26,175.75
  4. Step 4: Simplify right side
    10,815x = 685,169,888.06
  5. Step 5: Solve for x
    x = 685,169,888.06/10,815
  6. Step 6: Final answer
    x = 63,353.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.