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Finding the Third Proportional to 9,558 and 11,517.19

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Solution

The third proportional to 9,558 and 11,517.19 is: 13,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 11,517.19 = 11,517.19 : x
  2. Step 2: Convert to fraction form
    9,558/11,517.19 = 11,517.19/x
  3. Step 3: Cross multiply
    9,558x = 11,517.19 × 11,517.19
  4. Step 4: Simplify right side
    9,558x = 132,645,607.91
  5. Step 5: Solve for x
    x = 132,645,607.91/9,558
  6. Step 6: Final answer
    x = 13,877.97

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.