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Finding the Third Proportional to 3,751.31 and 5,034.02

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Solution

The third proportional to 3,751.31 and 5,034.02 is: 6,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.31 : 5,034.02 = 5,034.02 : x
  2. Step 2: Convert to fraction form
    3,751.31/5,034.02 = 5,034.02/x
  3. Step 3: Cross multiply
    3,751.31x = 5,034.02 × 5,034.02
  4. Step 4: Simplify right side
    3,751.31x = 25,341,391.97
  5. Step 5: Solve for x
    x = 25,341,391.97/3,751.31
  6. Step 6: Final answer
    x = 6,755.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.