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Finding the Third Proportional to 40,332 and 60,538

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Solution

The third proportional to 40,332 and 60,538 is: 90,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,332 : 60,538 = 60,538 : x
  2. Step 2: Convert to fraction form
    40,332/60,538 = 60,538/x
  3. Step 3: Cross multiply
    40,332x = 60,538 × 60,538
  4. Step 4: Simplify right side
    40,332x = 3,664,849,444
  5. Step 5: Solve for x
    x = 3,664,849,444/40,332
  6. Step 6: Final answer
    x = 90,867.04

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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.