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Finding the Third Proportional to 29,496.38 and 38,793.38

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Solution

The third proportional to 29,496.38 and 38,793.38 is: 51,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,496.38 : 38,793.38 = 38,793.38 : x
  2. Step 2: Convert to fraction form
    29,496.38/38,793.38 = 38,793.38/x
  3. Step 3: Cross multiply
    29,496.38x = 38,793.38 × 38,793.38
  4. Step 4: Simplify right side
    29,496.38x = 1,504,925,943.89
  5. Step 5: Solve for x
    x = 1,504,925,943.89/29,496.38
  6. Step 6: Final answer
    x = 51,020.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.