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Finding the Third Proportional to 1,099.20 and 2,542.96

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Solution

The third proportional to 1,099.20 and 2,542.96 is: 5,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.20 : 2,542.96 = 2,542.96 : x
  2. Step 2: Convert to fraction form
    1,099.20/2,542.96 = 2,542.96/x
  3. Step 3: Cross multiply
    1,099.20x = 2,542.96 × 2,542.96
  4. Step 4: Simplify right side
    1,099.20x = 6,466,630.46
  5. Step 5: Solve for x
    x = 6,466,630.46/1,099.20
  6. Step 6: Final answer
    x = 5,883.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.