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Finding the Third Proportional to 16,767 and 20,371.50

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Solution

The third proportional to 16,767 and 20,371.50 is: 24,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 20,371.50 = 20,371.50 : x
  2. Step 2: Convert to fraction form
    16,767/20,371.50 = 20,371.50/x
  3. Step 3: Cross multiply
    16,767x = 20,371.50 × 20,371.50
  4. Step 4: Simplify right side
    16,767x = 414,998,012.25
  5. Step 5: Solve for x
    x = 414,998,012.25/16,767
  6. Step 6: Final answer
    x = 24,750.88

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.