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Finding the Third Proportional to 7,680 and 8,814

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Solution

The third proportional to 7,680 and 8,814 is: 10,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680 : 8,814 = 8,814 : x
  2. Step 2: Convert to fraction form
    7,680/8,814 = 8,814/x
  3. Step 3: Cross multiply
    7,680x = 8,814 × 8,814
  4. Step 4: Simplify right side
    7,680x = 77,686,596
  5. Step 5: Solve for x
    x = 77,686,596/7,680
  6. Step 6: Final answer
    x = 10,115.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.