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Finding the Third Proportional to 12,019 and 27,823

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Solution

The third proportional to 12,019 and 27,823 is: 64,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019 : 27,823 = 27,823 : x
  2. Step 2: Convert to fraction form
    12,019/27,823 = 27,823/x
  3. Step 3: Cross multiply
    12,019x = 27,823 × 27,823
  4. Step 4: Simplify right side
    12,019x = 774,119,329
  5. Step 5: Solve for x
    x = 774,119,329/12,019
  6. Step 6: Final answer
    x = 64,407.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.