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Finding the Third Proportional to 2,425.31 and 5,073.38

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Solution

The third proportional to 2,425.31 and 5,073.38 is: 10,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.31 : 5,073.38 = 5,073.38 : x
  2. Step 2: Convert to fraction form
    2,425.31/5,073.38 = 5,073.38/x
  3. Step 3: Cross multiply
    2,425.31x = 5,073.38 × 5,073.38
  4. Step 4: Simplify right side
    2,425.31x = 25,739,133.89
  5. Step 5: Solve for x
    x = 25,739,133.89/2,425.31
  6. Step 6: Final answer
    x = 10,612.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.