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Finding the Third Proportional to 12,224.81 and 18,115.31

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Solution

The third proportional to 12,224.81 and 18,115.31 is: 26,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.81 : 18,115.31 = 18,115.31 : x
  2. Step 2: Convert to fraction form
    12,224.81/18,115.31 = 18,115.31/x
  3. Step 3: Cross multiply
    12,224.81x = 18,115.31 × 18,115.31
  4. Step 4: Simplify right side
    12,224.81x = 328,164,546.97
  5. Step 5: Solve for x
    x = 328,164,546.97/12,224.81
  6. Step 6: Final answer
    x = 26,844.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.