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Finding the Third Proportional to 5,235.38 and 11,394.13

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Solution

The third proportional to 5,235.38 and 11,394.13 is: 24,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.38 : 11,394.13 = 11,394.13 : x
  2. Step 2: Convert to fraction form
    5,235.38/11,394.13 = 11,394.13/x
  3. Step 3: Cross multiply
    5,235.38x = 11,394.13 × 11,394.13
  4. Step 4: Simplify right side
    5,235.38x = 129,826,084.52
  5. Step 5: Solve for x
    x = 129,826,084.52/5,235.38
  6. Step 6: Final answer
    x = 24,797.86

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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.