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Finding the Third Proportional to 8,780.91 and 20,872.69

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Solution

The third proportional to 8,780.91 and 20,872.69 is: 49,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.91 : 20,872.69 = 20,872.69 : x
  2. Step 2: Convert to fraction form
    8,780.91/20,872.69 = 20,872.69/x
  3. Step 3: Cross multiply
    8,780.91x = 20,872.69 × 20,872.69
  4. Step 4: Simplify right side
    8,780.91x = 435,669,083.47
  5. Step 5: Solve for x
    x = 435,669,083.47/8,780.91
  6. Step 6: Final answer
    x = 49,615.50

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.