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Finding the Third Proportional to 8,187 and 12,695

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Solution

The third proportional to 8,187 and 12,695 is: 19,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187 : 12,695 = 12,695 : x
  2. Step 2: Convert to fraction form
    8,187/12,695 = 12,695/x
  3. Step 3: Cross multiply
    8,187x = 12,695 × 12,695
  4. Step 4: Simplify right side
    8,187x = 161,163,025
  5. Step 5: Solve for x
    x = 161,163,025/8,187
  6. Step 6: Final answer
    x = 19,685.24

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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.