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Finding the Third Proportional to 3,588 and 5,422

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Solution

The third proportional to 3,588 and 5,422 is: 8,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 5,422 = 5,422 : x
  2. Step 2: Convert to fraction form
    3,588/5,422 = 5,422/x
  3. Step 3: Cross multiply
    3,588x = 5,422 × 5,422
  4. Step 4: Simplify right side
    3,588x = 29,398,084
  5. Step 5: Solve for x
    x = 29,398,084/3,588
  6. Step 6: Final answer
    x = 8,193.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.