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Finding the Third Proportional to 33,991 and 75,091

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Solution

The third proportional to 33,991 and 75,091 is: 165,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991 : 75,091 = 75,091 : x
  2. Step 2: Convert to fraction form
    33,991/75,091 = 75,091/x
  3. Step 3: Cross multiply
    33,991x = 75,091 × 75,091
  4. Step 4: Simplify right side
    33,991x = 5,638,658,281
  5. Step 5: Solve for x
    x = 5,638,658,281/33,991
  6. Step 6: Final answer
    x = 165,886.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.