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Finding the Third Proportional to 7,674 and 8,682

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Solution

The third proportional to 7,674 and 8,682 is: 9,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 8,682 = 8,682 : x
  2. Step 2: Convert to fraction form
    7,674/8,682 = 8,682/x
  3. Step 3: Cross multiply
    7,674x = 8,682 × 8,682
  4. Step 4: Simplify right side
    7,674x = 75,377,124
  5. Step 5: Solve for x
    x = 75,377,124/7,674
  6. Step 6: Final answer
    x = 9,822.40

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.