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Finding the Third Proportional to 12,182 and 18,407

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Solution

The third proportional to 12,182 and 18,407 is: 27,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182 : 18,407 = 18,407 : x
  2. Step 2: Convert to fraction form
    12,182/18,407 = 18,407/x
  3. Step 3: Cross multiply
    12,182x = 18,407 × 18,407
  4. Step 4: Simplify right side
    12,182x = 338,817,649
  5. Step 5: Solve for x
    x = 338,817,649/12,182
  6. Step 6: Final answer
    x = 27,812.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.