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Finding the Third Proportional to 7,654 and 8,374

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Solution

The third proportional to 7,654 and 8,374 is: 9,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654 : 8,374 = 8,374 : x
  2. Step 2: Convert to fraction form
    7,654/8,374 = 8,374/x
  3. Step 3: Cross multiply
    7,654x = 8,374 × 8,374
  4. Step 4: Simplify right side
    7,654x = 70,123,876
  5. Step 5: Solve for x
    x = 70,123,876/7,654
  6. Step 6: Final answer
    x = 9,161.73

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.