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Finding the Third Proportional to 33,348 and 49,662

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Solution

The third proportional to 33,348 and 49,662 is: 73,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,348 : 49,662 = 49,662 : x
  2. Step 2: Convert to fraction form
    33,348/49,662 = 49,662/x
  3. Step 3: Cross multiply
    33,348x = 49,662 × 49,662
  4. Step 4: Simplify right side
    33,348x = 2,466,314,244
  5. Step 5: Solve for x
    x = 2,466,314,244/33,348
  6. Step 6: Final answer
    x = 73,956.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.