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Finding the Third Proportional to 16,533 and 36,744.75

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Solution

The third proportional to 16,533 and 36,744.75 is: 81,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 36,744.75 = 36,744.75 : x
  2. Step 2: Convert to fraction form
    16,533/36,744.75 = 36,744.75/x
  3. Step 3: Cross multiply
    16,533x = 36,744.75 × 36,744.75
  4. Step 4: Simplify right side
    16,533x = 1,350,176,652.56
  5. Step 5: Solve for x
    x = 1,350,176,652.56/16,533
  6. Step 6: Final answer
    x = 81,665.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.