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Finding the Third Proportional to 8,689 and 17,996

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Solution

The third proportional to 8,689 and 17,996 is: 37,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689 : 17,996 = 17,996 : x
  2. Step 2: Convert to fraction form
    8,689/17,996 = 17,996/x
  3. Step 3: Cross multiply
    8,689x = 17,996 × 17,996
  4. Step 4: Simplify right side
    8,689x = 323,856,016
  5. Step 5: Solve for x
    x = 323,856,016/8,689
  6. Step 6: Final answer
    x = 37,271.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.