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Finding the Third Proportional to 6,338.78 and 9,853.73

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Solution

The third proportional to 6,338.78 and 9,853.73 is: 15,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.78 : 9,853.73 = 9,853.73 : x
  2. Step 2: Convert to fraction form
    6,338.78/9,853.73 = 9,853.73/x
  3. Step 3: Cross multiply
    6,338.78x = 9,853.73 × 9,853.73
  4. Step 4: Simplify right side
    6,338.78x = 97,096,081.13
  5. Step 5: Solve for x
    x = 97,096,081.13/6,338.78
  6. Step 6: Final answer
    x = 15,317.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.