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Finding the Third Proportional to 33,397 and 49,991

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Solution

The third proportional to 33,397 and 49,991 is: 74,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,397 : 49,991 = 49,991 : x
  2. Step 2: Convert to fraction form
    33,397/49,991 = 49,991/x
  3. Step 3: Cross multiply
    33,397x = 49,991 × 49,991
  4. Step 4: Simplify right side
    33,397x = 2,499,100,081
  5. Step 5: Solve for x
    x = 2,499,100,081/33,397
  6. Step 6: Final answer
    x = 74,830.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.