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Finding the Third Proportional to 12,340.27 and 19,872.84

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Solution

The third proportional to 12,340.27 and 19,872.84 is: 32,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.27 : 19,872.84 = 19,872.84 : x
  2. Step 2: Convert to fraction form
    12,340.27/19,872.84 = 19,872.84/x
  3. Step 3: Cross multiply
    12,340.27x = 19,872.84 × 19,872.84
  4. Step 4: Simplify right side
    12,340.27x = 394,929,918.71
  5. Step 5: Solve for x
    x = 394,929,918.71/12,340.27
  6. Step 6: Final answer
    x = 32,003.36

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.