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Finding the Third Proportional to 12,146.63 and 18,230.06

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Solution

The third proportional to 12,146.63 and 18,230.06 is: 27,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.63 : 18,230.06 = 18,230.06 : x
  2. Step 2: Convert to fraction form
    12,146.63/18,230.06 = 18,230.06/x
  3. Step 3: Cross multiply
    12,146.63x = 18,230.06 × 18,230.06
  4. Step 4: Simplify right side
    12,146.63x = 332,335,178.75
  5. Step 5: Solve for x
    x = 332,335,178.75/12,146.63
  6. Step 6: Final answer
    x = 27,360.29

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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.