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Finding the Third Proportional to 40,765 and 62,734

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Solution

The third proportional to 40,765 and 62,734 is: 96,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,765 : 62,734 = 62,734 : x
  2. Step 2: Convert to fraction form
    40,765/62,734 = 62,734/x
  3. Step 3: Cross multiply
    40,765x = 62,734 × 62,734
  4. Step 4: Simplify right side
    40,765x = 3,935,554,756
  5. Step 5: Solve for x
    x = 3,935,554,756/40,765
  6. Step 6: Final answer
    x = 96,542.49

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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.