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Finding the Third Proportional to 33,378 and 62,552

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Solution

The third proportional to 33,378 and 62,552 is: 117,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 62,552 = 62,552 : x
  2. Step 2: Convert to fraction form
    33,378/62,552 = 62,552/x
  3. Step 3: Cross multiply
    33,378x = 62,552 × 62,552
  4. Step 4: Simplify right side
    33,378x = 3,912,752,704
  5. Step 5: Solve for x
    x = 3,912,752,704/33,378
  6. Step 6: Final answer
    x = 117,225.50

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.