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Finding the Third Proportional to 3,267.84 and 4,671.42

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Solution

The third proportional to 3,267.84 and 4,671.42 is: 6,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.84 : 4,671.42 = 4,671.42 : x
  2. Step 2: Convert to fraction form
    3,267.84/4,671.42 = 4,671.42/x
  3. Step 3: Cross multiply
    3,267.84x = 4,671.42 × 4,671.42
  4. Step 4: Simplify right side
    3,267.84x = 21,822,182.33
  5. Step 5: Solve for x
    x = 21,822,182.33/3,267.84
  6. Step 6: Final answer
    x = 6,677.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.