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Finding the Third Proportional to 8,158 and 12,671

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Solution

The third proportional to 8,158 and 12,671 is: 19,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158 : 12,671 = 12,671 : x
  2. Step 2: Convert to fraction form
    8,158/12,671 = 12,671/x
  3. Step 3: Cross multiply
    8,158x = 12,671 × 12,671
  4. Step 4: Simplify right side
    8,158x = 160,554,241
  5. Step 5: Solve for x
    x = 160,554,241/8,158
  6. Step 6: Final answer
    x = 19,680.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.