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Finding the Third Proportional to 3,681 and 5,525

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Solution

The third proportional to 3,681 and 5,525 is: 8,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681 : 5,525 = 5,525 : x
  2. Step 2: Convert to fraction form
    3,681/5,525 = 5,525/x
  3. Step 3: Cross multiply
    3,681x = 5,525 × 5,525
  4. Step 4: Simplify right side
    3,681x = 30,525,625
  5. Step 5: Solve for x
    x = 30,525,625/3,681
  6. Step 6: Final answer
    x = 8,292.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.