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Finding the Third Proportional to 40,708 and 60,972

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Solution

The third proportional to 40,708 and 60,972 is: 91,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,708 : 60,972 = 60,972 : x
  2. Step 2: Convert to fraction form
    40,708/60,972 = 60,972/x
  3. Step 3: Cross multiply
    40,708x = 60,972 × 60,972
  4. Step 4: Simplify right side
    40,708x = 3,717,584,784
  5. Step 5: Solve for x
    x = 3,717,584,784/40,708
  6. Step 6: Final answer
    x = 91,323.20

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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.