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Finding the Third Proportional to 24,148.13 and 29,296.69

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Solution

The third proportional to 24,148.13 and 29,296.69 is: 35,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.13 : 29,296.69 = 29,296.69 : x
  2. Step 2: Convert to fraction form
    24,148.13/29,296.69 = 29,296.69/x
  3. Step 3: Cross multiply
    24,148.13x = 29,296.69 × 29,296.69
  4. Step 4: Simplify right side
    24,148.13x = 858,295,898.47
  5. Step 5: Solve for x
    x = 858,295,898.47/24,148.13
  6. Step 6: Final answer
    x = 35,542.96

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.