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Finding the Third Proportional to 3,706 and 5,489

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Solution

The third proportional to 3,706 and 5,489 is: 8,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 5,489 = 5,489 : x
  2. Step 2: Convert to fraction form
    3,706/5,489 = 5,489/x
  3. Step 3: Cross multiply
    3,706x = 5,489 × 5,489
  4. Step 4: Simplify right side
    3,706x = 30,129,121
  5. Step 5: Solve for x
    x = 30,129,121/3,706
  6. Step 6: Final answer
    x = 8,129.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.