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Finding the Third Proportional to 6,825.38 and 9,863.44

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Solution

The third proportional to 6,825.38 and 9,863.44 is: 14,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.38 : 9,863.44 = 9,863.44 : x
  2. Step 2: Convert to fraction form
    6,825.38/9,863.44 = 9,863.44/x
  3. Step 3: Cross multiply
    6,825.38x = 9,863.44 × 9,863.44
  4. Step 4: Simplify right side
    6,825.38x = 97,287,399.32
  5. Step 5: Solve for x
    x = 97,287,399.32/6,825.38
  6. Step 6: Final answer
    x = 14,253.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.