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Finding the Third Proportional to 15,872.84 and 34,863.86

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Solution

The third proportional to 15,872.84 and 34,863.86 is: 76,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.84 : 34,863.86 = 34,863.86 : x
  2. Step 2: Convert to fraction form
    15,872.84/34,863.86 = 34,863.86/x
  3. Step 3: Cross multiply
    15,872.84x = 34,863.86 × 34,863.86
  4. Step 4: Simplify right side
    15,872.84x = 1,215,488,418.15
  5. Step 5: Solve for x
    x = 1,215,488,418.15/15,872.84
  6. Step 6: Final answer
    x = 76,576.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.