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Finding the Third Proportional to 11,077.13 and 16,441.88

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Solution

The third proportional to 11,077.13 and 16,441.88 is: 24,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.13 : 16,441.88 = 16,441.88 : x
  2. Step 2: Convert to fraction form
    11,077.13/16,441.88 = 16,441.88/x
  3. Step 3: Cross multiply
    11,077.13x = 16,441.88 × 16,441.88
  4. Step 4: Simplify right side
    11,077.13x = 270,335,253.52
  5. Step 5: Solve for x
    x = 270,335,253.52/11,077.13
  6. Step 6: Final answer
    x = 24,404.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.