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Finding the Third Proportional to 3,527 and 7,661

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Solution

The third proportional to 3,527 and 7,661 is: 16,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527 : 7,661 = 7,661 : x
  2. Step 2: Convert to fraction form
    3,527/7,661 = 7,661/x
  3. Step 3: Cross multiply
    3,527x = 7,661 × 7,661
  4. Step 4: Simplify right side
    3,527x = 58,690,921
  5. Step 5: Solve for x
    x = 58,690,921/3,527
  6. Step 6: Final answer
    x = 16,640.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.