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Finding the Third Proportional to 8,184 and 17,151

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Solution

The third proportional to 8,184 and 17,151 is: 35,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 17,151 = 17,151 : x
  2. Step 2: Convert to fraction form
    8,184/17,151 = 17,151/x
  3. Step 3: Cross multiply
    8,184x = 17,151 × 17,151
  4. Step 4: Simplify right side
    8,184x = 294,156,801
  5. Step 5: Solve for x
    x = 294,156,801/8,184
  6. Step 6: Final answer
    x = 35,942.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.