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Finding the Third Proportional to 39,737 and 86,755

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Solution

The third proportional to 39,737 and 86,755 is: 189,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,737 : 86,755 = 86,755 : x
  2. Step 2: Convert to fraction form
    39,737/86,755 = 86,755/x
  3. Step 3: Cross multiply
    39,737x = 86,755 × 86,755
  4. Step 4: Simplify right side
    39,737x = 7,526,430,025
  5. Step 5: Solve for x
    x = 7,526,430,025/39,737
  6. Step 6: Final answer
    x = 189,406.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.