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Finding the Third Proportional to 6,338.25 and 9,013.78

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Solution

The third proportional to 6,338.25 and 9,013.78 is: 12,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.25 : 9,013.78 = 9,013.78 : x
  2. Step 2: Convert to fraction form
    6,338.25/9,013.78 = 9,013.78/x
  3. Step 3: Cross multiply
    6,338.25x = 9,013.78 × 9,013.78
  4. Step 4: Simplify right side
    6,338.25x = 81,248,252.42
  5. Step 5: Solve for x
    x = 81,248,252.42/6,338.25
  6. Step 6: Final answer
    x = 12,818.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.