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Finding the Third Proportional to 1,097.38 and 1,744.13

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Solution

The third proportional to 1,097.38 and 1,744.13 is: 2,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.38 : 1,744.13 = 1,744.13 : x
  2. Step 2: Convert to fraction form
    1,097.38/1,744.13 = 1,744.13/x
  3. Step 3: Cross multiply
    1,097.38x = 1,744.13 × 1,744.13
  4. Step 4: Simplify right side
    1,097.38x = 3,041,972.02
  5. Step 5: Solve for x
    x = 3,041,972.02/1,097.38
  6. Step 6: Final answer
    x = 2,772.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.