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Finding the Third Proportional to 12,114 and 18,114

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Solution

The third proportional to 12,114 and 18,114 is: 27,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114 : 18,114 = 18,114 : x
  2. Step 2: Convert to fraction form
    12,114/18,114 = 18,114/x
  3. Step 3: Cross multiply
    12,114x = 18,114 × 18,114
  4. Step 4: Simplify right side
    12,114x = 328,116,996
  5. Step 5: Solve for x
    x = 328,116,996/12,114
  6. Step 6: Final answer
    x = 27,085.77

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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.