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Finding the Third Proportional to 16,767 and 27,747.56

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Solution

The third proportional to 16,767 and 27,747.56 is: 45,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 27,747.56 = 27,747.56 : x
  2. Step 2: Convert to fraction form
    16,767/27,747.56 = 27,747.56/x
  3. Step 3: Cross multiply
    16,767x = 27,747.56 × 27,747.56
  4. Step 4: Simplify right side
    16,767x = 769,927,224.69
  5. Step 5: Solve for x
    x = 769,927,224.69/16,767
  6. Step 6: Final answer
    x = 45,919.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.