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Finding the Third Proportional to 40,524 and 60,900

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Solution

The third proportional to 40,524 and 60,900 is: 91,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 60,900 = 60,900 : x
  2. Step 2: Convert to fraction form
    40,524/60,900 = 60,900/x
  3. Step 3: Cross multiply
    40,524x = 60,900 × 60,900
  4. Step 4: Simplify right side
    40,524x = 3,708,810,000
  5. Step 5: Solve for x
    x = 3,708,810,000/40,524
  6. Step 6: Final answer
    x = 91,521.32

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