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Finding the Third Proportional to 2,531.25 and 3,711.38

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Solution

The third proportional to 2,531.25 and 3,711.38 is: 5,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.25 : 3,711.38 = 3,711.38 : x
  2. Step 2: Convert to fraction form
    2,531.25/3,711.38 = 3,711.38/x
  3. Step 3: Cross multiply
    2,531.25x = 3,711.38 × 3,711.38
  4. Step 4: Simplify right side
    2,531.25x = 13,774,304.39
  5. Step 5: Solve for x
    x = 13,774,304.39/2,531.25
  6. Step 6: Final answer
    x = 5,441.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.