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Finding the Third Proportional to 12,224 and 18,887

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Solution

The third proportional to 12,224 and 18,887 is: 29,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 18,887 = 18,887 : x
  2. Step 2: Convert to fraction form
    12,224/18,887 = 18,887/x
  3. Step 3: Cross multiply
    12,224x = 18,887 × 18,887
  4. Step 4: Simplify right side
    12,224x = 356,718,769
  5. Step 5: Solve for x
    x = 356,718,769/12,224
  6. Step 6: Final answer
    x = 29,181.84

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