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Finding the Third Proportional to 16,085 and 22,651

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Solution

The third proportional to 16,085 and 22,651 is: 31,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085 : 22,651 = 22,651 : x
  2. Step 2: Convert to fraction form
    16,085/22,651 = 22,651/x
  3. Step 3: Cross multiply
    16,085x = 22,651 × 22,651
  4. Step 4: Simplify right side
    16,085x = 513,067,801
  5. Step 5: Solve for x
    x = 513,067,801/16,085
  6. Step 6: Final answer
    x = 31,897.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.