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Finding the Third Proportional to 2,393.02 and 5,257.97

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Solution

The third proportional to 2,393.02 and 5,257.97 is: 11,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.02 : 5,257.97 = 5,257.97 : x
  2. Step 2: Convert to fraction form
    2,393.02/5,257.97 = 5,257.97/x
  3. Step 3: Cross multiply
    2,393.02x = 5,257.97 × 5,257.97
  4. Step 4: Simplify right side
    2,393.02x = 27,646,235.38
  5. Step 5: Solve for x
    x = 27,646,235.38/2,393.02
  6. Step 6: Final answer
    x = 11,552.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.