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Finding the Third Proportional to 39,064 and 60,581

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Solution

The third proportional to 39,064 and 60,581 is: 93,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,064 : 60,581 = 60,581 : x
  2. Step 2: Convert to fraction form
    39,064/60,581 = 60,581/x
  3. Step 3: Cross multiply
    39,064x = 60,581 × 60,581
  4. Step 4: Simplify right side
    39,064x = 3,670,057,561
  5. Step 5: Solve for x
    x = 3,670,057,561/39,064
  6. Step 6: Final answer
    x = 93,949.87

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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.