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Finding the Third Proportional to 7,868 and 10,691

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Solution

The third proportional to 7,868 and 10,691 is: 14,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 10,691 = 10,691 : x
  2. Step 2: Convert to fraction form
    7,868/10,691 = 10,691/x
  3. Step 3: Cross multiply
    7,868x = 10,691 × 10,691
  4. Step 4: Simplify right side
    7,868x = 114,297,481
  5. Step 5: Solve for x
    x = 114,297,481/7,868
  6. Step 6: Final answer
    x = 14,526.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.