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Finding the Third Proportional to 12,061 and 18,069

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Solution

The third proportional to 12,061 and 18,069 is: 27,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,061 : 18,069 = 18,069 : x
  2. Step 2: Convert to fraction form
    12,061/18,069 = 18,069/x
  3. Step 3: Cross multiply
    12,061x = 18,069 × 18,069
  4. Step 4: Simplify right side
    12,061x = 326,488,761
  5. Step 5: Solve for x
    x = 326,488,761/12,061
  6. Step 6: Final answer
    x = 27,069.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.