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Finding the Third Proportional to 7,144.31 and 15,672.38

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Solution

The third proportional to 7,144.31 and 15,672.38 is: 34,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.31 : 15,672.38 = 15,672.38 : x
  2. Step 2: Convert to fraction form
    7,144.31/15,672.38 = 15,672.38/x
  3. Step 3: Cross multiply
    7,144.31x = 15,672.38 × 15,672.38
  4. Step 4: Simplify right side
    7,144.31x = 245,623,338.14
  5. Step 5: Solve for x
    x = 245,623,338.14/7,144.31
  6. Step 6: Final answer
    x = 34,380.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.