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Finding the Third Proportional to 39,654 and 60,737

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Solution

The third proportional to 39,654 and 60,737 is: 93,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,654 : 60,737 = 60,737 : x
  2. Step 2: Convert to fraction form
    39,654/60,737 = 60,737/x
  3. Step 3: Cross multiply
    39,654x = 60,737 × 60,737
  4. Step 4: Simplify right side
    39,654x = 3,688,983,169
  5. Step 5: Solve for x
    x = 3,688,983,169/39,654
  6. Step 6: Final answer
    x = 93,029.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.