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Finding the Third Proportional to 7,882 and 8,714

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Solution

The third proportional to 7,882 and 8,714 is: 9,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 8,714 = 8,714 : x
  2. Step 2: Convert to fraction form
    7,882/8,714 = 8,714/x
  3. Step 3: Cross multiply
    7,882x = 8,714 × 8,714
  4. Step 4: Simplify right side
    7,882x = 75,933,796
  5. Step 5: Solve for x
    x = 75,933,796/7,882
  6. Step 6: Final answer
    x = 9,633.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.