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Finding the Third Proportional to 1,125.84 and 2,449.97

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Solution

The third proportional to 1,125.84 and 2,449.97 is: 5,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.84 : 2,449.97 = 2,449.97 : x
  2. Step 2: Convert to fraction form
    1,125.84/2,449.97 = 2,449.97/x
  3. Step 3: Cross multiply
    1,125.84x = 2,449.97 × 2,449.97
  4. Step 4: Simplify right side
    1,125.84x = 6,002,346.88
  5. Step 5: Solve for x
    x = 6,002,346.88/1,125.84
  6. Step 6: Final answer
    x = 5,331.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.