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Finding the Third Proportional to 3,642 and 5,775

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Solution

The third proportional to 3,642 and 5,775 is: 9,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,775 = 5,775 : x
  2. Step 2: Convert to fraction form
    3,642/5,775 = 5,775/x
  3. Step 3: Cross multiply
    3,642x = 5,775 × 5,775
  4. Step 4: Simplify right side
    3,642x = 33,350,625
  5. Step 5: Solve for x
    x = 33,350,625/3,642
  6. Step 6: Final answer
    x = 9,157.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.