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Finding the Third Proportional to 33,378 and 51,981

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Solution

The third proportional to 33,378 and 51,981 is: 80,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 51,981 = 51,981 : x
  2. Step 2: Convert to fraction form
    33,378/51,981 = 51,981/x
  3. Step 3: Cross multiply
    33,378x = 51,981 × 51,981
  4. Step 4: Simplify right side
    33,378x = 2,702,024,361
  5. Step 5: Solve for x
    x = 2,702,024,361/33,378
  6. Step 6: Final answer
    x = 80,952.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.