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Finding the Third Proportional to 14,124.38 and 18,331.31

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Solution

The third proportional to 14,124.38 and 18,331.31 is: 23,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.38 : 18,331.31 = 18,331.31 : x
  2. Step 2: Convert to fraction form
    14,124.38/18,331.31 = 18,331.31/x
  3. Step 3: Cross multiply
    14,124.38x = 18,331.31 × 18,331.31
  4. Step 4: Simplify right side
    14,124.38x = 336,037,017.97
  5. Step 5: Solve for x
    x = 336,037,017.97/14,124.38
  6. Step 6: Final answer
    x = 23,791.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.