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Finding the Third Proportional to 5,295.38 and 11,167.88

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Solution

The third proportional to 5,295.38 and 11,167.88 is: 23,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.38 : 11,167.88 = 11,167.88 : x
  2. Step 2: Convert to fraction form
    5,295.38/11,167.88 = 11,167.88/x
  3. Step 3: Cross multiply
    5,295.38x = 11,167.88 × 11,167.88
  4. Step 4: Simplify right side
    5,295.38x = 124,721,432.02
  5. Step 5: Solve for x
    x = 124,721,432.02/5,295.38
  6. Step 6: Final answer
    x = 23,552.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.