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Finding the Third Proportional to 12,685.68 and 19,327.73

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Solution

The third proportional to 12,685.68 and 19,327.73 is: 29,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.68 : 19,327.73 = 19,327.73 : x
  2. Step 2: Convert to fraction form
    12,685.68/19,327.73 = 19,327.73/x
  3. Step 3: Cross multiply
    12,685.68x = 19,327.73 × 19,327.73
  4. Step 4: Simplify right side
    12,685.68x = 373,561,089.57
  5. Step 5: Solve for x
    x = 373,561,089.57/12,685.68
  6. Step 6: Final answer
    x = 29,447.47

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