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Finding the Third Proportional to 16,533 and 35,981

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Solution

The third proportional to 16,533 and 35,981 is: 78,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 35,981 = 35,981 : x
  2. Step 2: Convert to fraction form
    16,533/35,981 = 35,981/x
  3. Step 3: Cross multiply
    16,533x = 35,981 × 35,981
  4. Step 4: Simplify right side
    16,533x = 1,294,632,361
  5. Step 5: Solve for x
    x = 1,294,632,361/16,533
  6. Step 6: Final answer
    x = 78,305.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.