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Finding the Third Proportional to 5,291.25 and 11,379.25

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Solution

The third proportional to 5,291.25 and 11,379.25 is: 24,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.25 : 11,379.25 = 11,379.25 : x
  2. Step 2: Convert to fraction form
    5,291.25/11,379.25 = 11,379.25/x
  3. Step 3: Cross multiply
    5,291.25x = 11,379.25 × 11,379.25
  4. Step 4: Simplify right side
    5,291.25x = 129,487,330.56
  5. Step 5: Solve for x
    x = 129,487,330.56/5,291.25
  6. Step 6: Final answer
    x = 24,471.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.