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Finding the Third Proportional to 12,239.44 and 18,614.81

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Solution

The third proportional to 12,239.44 and 18,614.81 is: 28,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.44 : 18,614.81 = 18,614.81 : x
  2. Step 2: Convert to fraction form
    12,239.44/18,614.81 = 18,614.81/x
  3. Step 3: Cross multiply
    12,239.44x = 18,614.81 × 18,614.81
  4. Step 4: Simplify right side
    12,239.44x = 346,511,244.41
  5. Step 5: Solve for x
    x = 346,511,244.41/12,239.44
  6. Step 6: Final answer
    x = 28,311.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.