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Finding the Third Proportional to 9,181.69 and 11,672.86

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Solution

The third proportional to 9,181.69 and 11,672.86 is: 14,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.69 : 11,672.86 = 11,672.86 : x
  2. Step 2: Convert to fraction form
    9,181.69/11,672.86 = 11,672.86/x
  3. Step 3: Cross multiply
    9,181.69x = 11,672.86 × 11,672.86
  4. Step 4: Simplify right side
    9,181.69x = 136,255,645.99
  5. Step 5: Solve for x
    x = 136,255,645.99/9,181.69
  6. Step 6: Final answer
    x = 14,839.94

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.