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Finding the Third Proportional to 2,397.52 and 5,230.83

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Solution

The third proportional to 2,397.52 and 5,230.83 is: 11,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.52 : 5,230.83 = 5,230.83 : x
  2. Step 2: Convert to fraction form
    2,397.52/5,230.83 = 5,230.83/x
  3. Step 3: Cross multiply
    2,397.52x = 5,230.83 × 5,230.83
  4. Step 4: Simplify right side
    2,397.52x = 27,361,562.87
  5. Step 5: Solve for x
    x = 27,361,562.87/2,397.52
  6. Step 6: Final answer
    x = 11,412.46

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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.