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Finding the Third Proportional to 33,498 and 49,875

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Solution

The third proportional to 33,498 and 49,875 is: 74,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498 : 49,875 = 49,875 : x
  2. Step 2: Convert to fraction form
    33,498/49,875 = 49,875/x
  3. Step 3: Cross multiply
    33,498x = 49,875 × 49,875
  4. Step 4: Simplify right side
    33,498x = 2,487,515,625
  5. Step 5: Solve for x
    x = 2,487,515,625/33,498
  6. Step 6: Final answer
    x = 74,258.63

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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.