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Finding the Third Proportional to 39,089 and 60,545

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Solution

The third proportional to 39,089 and 60,545 is: 93,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089 : 60,545 = 60,545 : x
  2. Step 2: Convert to fraction form
    39,089/60,545 = 60,545/x
  3. Step 3: Cross multiply
    39,089x = 60,545 × 60,545
  4. Step 4: Simplify right side
    39,089x = 3,665,697,025
  5. Step 5: Solve for x
    x = 3,665,697,025/39,089
  6. Step 6: Final answer
    x = 93,778.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.