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Finding the Third Proportional to 18,588.38 and 29,923.31

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Solution

The third proportional to 18,588.38 and 29,923.31 is: 48,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.38 : 29,923.31 = 29,923.31 : x
  2. Step 2: Convert to fraction form
    18,588.38/29,923.31 = 29,923.31/x
  3. Step 3: Cross multiply
    18,588.38x = 29,923.31 × 29,923.31
  4. Step 4: Simplify right side
    18,588.38x = 895,404,630.97
  5. Step 5: Solve for x
    x = 895,404,630.97/18,588.38
  6. Step 6: Final answer
    x = 48,170.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.