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Finding the Third Proportional to 21,709.69 and 32,617.13

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Solution

The third proportional to 21,709.69 and 32,617.13 is: 49,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.69 : 32,617.13 = 32,617.13 : x
  2. Step 2: Convert to fraction form
    21,709.69/32,617.13 = 32,617.13/x
  3. Step 3: Cross multiply
    21,709.69x = 32,617.13 × 32,617.13
  4. Step 4: Simplify right side
    21,709.69x = 1,063,876,843.27
  5. Step 5: Solve for x
    x = 1,063,876,843.27/21,709.69
  6. Step 6: Final answer
    x = 49,004.71

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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.