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Finding the Third Proportional to 15,220.69 and 32,542.31

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Solution

The third proportional to 15,220.69 and 32,542.31 is: 69,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,220.69 : 32,542.31 = 32,542.31 : x
  2. Step 2: Convert to fraction form
    15,220.69/32,542.31 = 32,542.31/x
  3. Step 3: Cross multiply
    15,220.69x = 32,542.31 × 32,542.31
  4. Step 4: Simplify right side
    15,220.69x = 1,059,002,102.85
  5. Step 5: Solve for x
    x = 1,059,002,102.85/15,220.69
  6. Step 6: Final answer
    x = 69,576.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.