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Finding the Third Proportional to 12,717.38 and 25,780.88

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Solution

The third proportional to 12,717.38 and 25,780.88 is: 52,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.38 : 25,780.88 = 25,780.88 : x
  2. Step 2: Convert to fraction form
    12,717.38/25,780.88 = 25,780.88/x
  3. Step 3: Cross multiply
    12,717.38x = 25,780.88 × 25,780.88
  4. Step 4: Simplify right side
    12,717.38x = 664,653,515.77
  5. Step 5: Solve for x
    x = 664,653,515.77/12,717.38
  6. Step 6: Final answer
    x = 52,263.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.