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Finding the Third Proportional to 7,661 and 15,801

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Solution

The third proportional to 7,661 and 15,801 is: 32,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661 : 15,801 = 15,801 : x
  2. Step 2: Convert to fraction form
    7,661/15,801 = 15,801/x
  3. Step 3: Cross multiply
    7,661x = 15,801 × 15,801
  4. Step 4: Simplify right side
    7,661x = 249,671,601
  5. Step 5: Solve for x
    x = 249,671,601/7,661
  6. Step 6: Final answer
    x = 32,589.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.