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Finding the Third Proportional to 6,452.44 and 9,863.72

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Solution

The third proportional to 6,452.44 and 9,863.72 is: 15,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.44 : 9,863.72 = 9,863.72 : x
  2. Step 2: Convert to fraction form
    6,452.44/9,863.72 = 9,863.72/x
  3. Step 3: Cross multiply
    6,452.44x = 9,863.72 × 9,863.72
  4. Step 4: Simplify right side
    6,452.44x = 97,292,947.58
  5. Step 5: Solve for x
    x = 97,292,947.58/6,452.44
  6. Step 6: Final answer
    x = 15,078.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.