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Finding the Third Proportional to 21,708 and 32,167.13

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Solution

The third proportional to 21,708 and 32,167.13 is: 47,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708 : 32,167.13 = 32,167.13 : x
  2. Step 2: Convert to fraction form
    21,708/32,167.13 = 32,167.13/x
  3. Step 3: Cross multiply
    21,708x = 32,167.13 × 32,167.13
  4. Step 4: Simplify right side
    21,708x = 1,034,723,930.77
  5. Step 5: Solve for x
    x = 1,034,723,930.77/21,708
  6. Step 6: Final answer
    x = 47,665.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.