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Finding the Third Proportional to 2,324.53 and 5,167.97

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Solution

The third proportional to 2,324.53 and 5,167.97 is: 11,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.53 : 5,167.97 = 5,167.97 : x
  2. Step 2: Convert to fraction form
    2,324.53/5,167.97 = 5,167.97/x
  3. Step 3: Cross multiply
    2,324.53x = 5,167.97 × 5,167.97
  4. Step 4: Simplify right side
    2,324.53x = 26,707,901.00
  5. Step 5: Solve for x
    x = 26,707,901.00/2,324.53
  6. Step 6: Final answer
    x = 11,489.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.