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Finding the Third Proportional to 8,103 and 17,171

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Solution

The third proportional to 8,103 and 17,171 is: 36,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 17,171 = 17,171 : x
  2. Step 2: Convert to fraction form
    8,103/17,171 = 17,171/x
  3. Step 3: Cross multiply
    8,103x = 17,171 × 17,171
  4. Step 4: Simplify right side
    8,103x = 294,843,241
  5. Step 5: Solve for x
    x = 294,843,241/8,103
  6. Step 6: Final answer
    x = 36,386.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.