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Finding the Third Proportional to 1,099.20 and 2,363.55

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Solution

The third proportional to 1,099.20 and 2,363.55 is: 5,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.20 : 2,363.55 = 2,363.55 : x
  2. Step 2: Convert to fraction form
    1,099.20/2,363.55 = 2,363.55/x
  3. Step 3: Cross multiply
    1,099.20x = 2,363.55 × 2,363.55
  4. Step 4: Simplify right side
    1,099.20x = 5,586,390.76
  5. Step 5: Solve for x
    x = 5,586,390.76/1,099.20
  6. Step 6: Final answer
    x = 5,082.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.