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Finding the Third Proportional to 39,754 and 59,631

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Solution

The third proportional to 39,754 and 59,631 is: 89,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,754 : 59,631 = 59,631 : x
  2. Step 2: Convert to fraction form
    39,754/59,631 = 59,631/x
  3. Step 3: Cross multiply
    39,754x = 59,631 × 59,631
  4. Step 4: Simplify right side
    39,754x = 3,555,856,161
  5. Step 5: Solve for x
    x = 3,555,856,161/39,754
  6. Step 6: Final answer
    x = 89,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.