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Finding the Third Proportional to 2,872.38 and 4,391.25

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Solution

The third proportional to 2,872.38 and 4,391.25 is: 6,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.38 : 4,391.25 = 4,391.25 : x
  2. Step 2: Convert to fraction form
    2,872.38/4,391.25 = 4,391.25/x
  3. Step 3: Cross multiply
    2,872.38x = 4,391.25 × 4,391.25
  4. Step 4: Simplify right side
    2,872.38x = 19,283,076.56
  5. Step 5: Solve for x
    x = 19,283,076.56/2,872.38
  6. Step 6: Final answer
    x = 6,713.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.