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Finding the Third Proportional to 2,043.56 and 3,272.91

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Solution

The third proportional to 2,043.56 and 3,272.91 is: 5,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 3,272.91 = 3,272.91 : x
  2. Step 2: Convert to fraction form
    2,043.56/3,272.91 = 3,272.91/x
  3. Step 3: Cross multiply
    2,043.56x = 3,272.91 × 3,272.91
  4. Step 4: Simplify right side
    2,043.56x = 10,711,915.32
  5. Step 5: Solve for x
    x = 10,711,915.32/2,043.56
  6. Step 6: Final answer
    x = 5,241.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.