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Finding the Third Proportional to 3,642 and 5,671

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Solution

The third proportional to 3,642 and 5,671 is: 8,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,671 = 5,671 : x
  2. Step 2: Convert to fraction form
    3,642/5,671 = 5,671/x
  3. Step 3: Cross multiply
    3,642x = 5,671 × 5,671
  4. Step 4: Simplify right side
    3,642x = 32,160,241
  5. Step 5: Solve for x
    x = 32,160,241/3,642
  6. Step 6: Final answer
    x = 8,830.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.