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Finding the Third Proportional to 5,232.38 and 12,349.69

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Solution

The third proportional to 5,232.38 and 12,349.69 is: 29,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.38 : 12,349.69 = 12,349.69 : x
  2. Step 2: Convert to fraction form
    5,232.38/12,349.69 = 12,349.69/x
  3. Step 3: Cross multiply
    5,232.38x = 12,349.69 × 12,349.69
  4. Step 4: Simplify right side
    5,232.38x = 152,514,781.35
  5. Step 5: Solve for x
    x = 152,514,781.35/5,232.38
  6. Step 6: Final answer
    x = 29,148.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.