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Finding the Third Proportional to 39,389 and 60,543

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Solution

The third proportional to 39,389 and 60,543 is: 93,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,389 : 60,543 = 60,543 : x
  2. Step 2: Convert to fraction form
    39,389/60,543 = 60,543/x
  3. Step 3: Cross multiply
    39,389x = 60,543 × 60,543
  4. Step 4: Simplify right side
    39,389x = 3,665,454,849
  5. Step 5: Solve for x
    x = 3,665,454,849/39,389
  6. Step 6: Final answer
    x = 93,057.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.