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Finding the Third Proportional to 3,751.31 and 5,032.97

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Solution

The third proportional to 3,751.31 and 5,032.97 is: 6,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.31 : 5,032.97 = 5,032.97 : x
  2. Step 2: Convert to fraction form
    3,751.31/5,032.97 = 5,032.97/x
  3. Step 3: Cross multiply
    3,751.31x = 5,032.97 × 5,032.97
  4. Step 4: Simplify right side
    3,751.31x = 25,330,774.44
  5. Step 5: Solve for x
    x = 25,330,774.44/3,751.31
  6. Step 6: Final answer
    x = 6,752.51

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