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Finding the Third Proportional to 39,527 and 60,749

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Solution

The third proportional to 39,527 and 60,749 is: 93,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,527 : 60,749 = 60,749 : x
  2. Step 2: Convert to fraction form
    39,527/60,749 = 60,749/x
  3. Step 3: Cross multiply
    39,527x = 60,749 × 60,749
  4. Step 4: Simplify right side
    39,527x = 3,690,441,001
  5. Step 5: Solve for x
    x = 3,690,441,001/39,527
  6. Step 6: Final answer
    x = 93,365.07

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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.