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Finding the Third Proportional to 12,415.78 and 16,789.78

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Solution

The third proportional to 12,415.78 and 16,789.78 is: 22,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 16,789.78 = 16,789.78 : x
  2. Step 2: Convert to fraction form
    12,415.78/16,789.78 = 16,789.78/x
  3. Step 3: Cross multiply
    12,415.78x = 16,789.78 × 16,789.78
  4. Step 4: Simplify right side
    12,415.78x = 281,896,754.42
  5. Step 5: Solve for x
    x = 281,896,754.42/12,415.78
  6. Step 6: Final answer
    x = 22,704.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.