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Finding the Third Proportional to 39,972 and 60,822

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Solution

The third proportional to 39,972 and 60,822 is: 92,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,972 : 60,822 = 60,822 : x
  2. Step 2: Convert to fraction form
    39,972/60,822 = 60,822/x
  3. Step 3: Cross multiply
    39,972x = 60,822 × 60,822
  4. Step 4: Simplify right side
    39,972x = 3,699,315,684
  5. Step 5: Solve for x
    x = 3,699,315,684/39,972
  6. Step 6: Final answer
    x = 92,547.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.