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Finding the Third Proportional to 16,789.78 and 24,022.83

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Solution

The third proportional to 16,789.78 and 24,022.83 is: 34,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,789.78 : 24,022.83 = 24,022.83 : x
  2. Step 2: Convert to fraction form
    16,789.78/24,022.83 = 24,022.83/x
  3. Step 3: Cross multiply
    16,789.78x = 24,022.83 × 24,022.83
  4. Step 4: Simplify right side
    16,789.78x = 577,096,271.12
  5. Step 5: Solve for x
    x = 577,096,271.12/16,789.78
  6. Step 6: Final answer
    x = 34,371.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.