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Finding the Third Proportional to 16,877 and 27,115.50

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Solution

The third proportional to 16,877 and 27,115.50 is: 43,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877 : 27,115.50 = 27,115.50 : x
  2. Step 2: Convert to fraction form
    16,877/27,115.50 = 27,115.50/x
  3. Step 3: Cross multiply
    16,877x = 27,115.50 × 27,115.50
  4. Step 4: Simplify right side
    16,877x = 735,250,340.25
  5. Step 5: Solve for x
    x = 735,250,340.25/16,877
  6. Step 6: Final answer
    x = 43,565.23

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Why These Related Problems?

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