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Finding the Third Proportional to 16,789.78 and 23,878.55

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Solution

The third proportional to 16,789.78 and 23,878.55 is: 33,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,789.78 : 23,878.55 = 23,878.55 : x
  2. Step 2: Convert to fraction form
    16,789.78/23,878.55 = 23,878.55/x
  3. Step 3: Cross multiply
    16,789.78x = 23,878.55 × 23,878.55
  4. Step 4: Simplify right side
    16,789.78x = 570,185,000.86
  5. Step 5: Solve for x
    x = 570,185,000.86/16,789.78
  6. Step 6: Final answer
    x = 33,960.24

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.