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Finding the Third Proportional to 4,049 and 8,661

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Solution

The third proportional to 4,049 and 8,661 is: 18,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049 : 8,661 = 8,661 : x
  2. Step 2: Convert to fraction form
    4,049/8,661 = 8,661/x
  3. Step 3: Cross multiply
    4,049x = 8,661 × 8,661
  4. Step 4: Simplify right side
    4,049x = 75,012,921
  5. Step 5: Solve for x
    x = 75,012,921/4,049
  6. Step 6: Final answer
    x = 18,526.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.