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Finding the Third Proportional to 29,355.38 and 39,324.38

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Solution

The third proportional to 29,355.38 and 39,324.38 is: 52,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355.38 : 39,324.38 = 39,324.38 : x
  2. Step 2: Convert to fraction form
    29,355.38/39,324.38 = 39,324.38/x
  3. Step 3: Cross multiply
    29,355.38x = 39,324.38 × 39,324.38
  4. Step 4: Simplify right side
    29,355.38x = 1,546,406,469.14
  5. Step 5: Solve for x
    x = 1,546,406,469.14/29,355.38
  6. Step 6: Final answer
    x = 52,678.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.