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Finding the Third Proportional to 39,524 and 62,565

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Solution

The third proportional to 39,524 and 62,565 is: 99,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524 : 62,565 = 62,565 : x
  2. Step 2: Convert to fraction form
    39,524/62,565 = 62,565/x
  3. Step 3: Cross multiply
    39,524x = 62,565 × 62,565
  4. Step 4: Simplify right side
    39,524x = 3,914,379,225
  5. Step 5: Solve for x
    x = 3,914,379,225/39,524
  6. Step 6: Final answer
    x = 99,038.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.