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Finding the Third Proportional to 4,184 and 7,672

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Solution

The third proportional to 4,184 and 7,672 is: 14,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184 : 7,672 = 7,672 : x
  2. Step 2: Convert to fraction form
    4,184/7,672 = 7,672/x
  3. Step 3: Cross multiply
    4,184x = 7,672 × 7,672
  4. Step 4: Simplify right side
    4,184x = 58,859,584
  5. Step 5: Solve for x
    x = 58,859,584/4,184
  6. Step 6: Final answer
    x = 14,067.78

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.