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Finding the Third Proportional to 1,097.44 and 2,557.97

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Solution

The third proportional to 1,097.44 and 2,557.97 is: 5,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.44 : 2,557.97 = 2,557.97 : x
  2. Step 2: Convert to fraction form
    1,097.44/2,557.97 = 2,557.97/x
  3. Step 3: Cross multiply
    1,097.44x = 2,557.97 × 2,557.97
  4. Step 4: Simplify right side
    1,097.44x = 6,543,204.13
  5. Step 5: Solve for x
    x = 6,543,204.13/1,097.44
  6. Step 6: Final answer
    x = 5,962.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.