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Finding the Third Proportional to 15,661.69 and 32,614.31

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Solution

The third proportional to 15,661.69 and 32,614.31 is: 67,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,661.69 : 32,614.31 = 32,614.31 : x
  2. Step 2: Convert to fraction form
    15,661.69/32,614.31 = 32,614.31/x
  3. Step 3: Cross multiply
    15,661.69x = 32,614.31 × 32,614.31
  4. Step 4: Simplify right side
    15,661.69x = 1,063,693,379.85
  5. Step 5: Solve for x
    x = 1,063,693,379.85/15,661.69
  6. Step 6: Final answer
    x = 67,916.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.