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Finding the Third Proportional to 33,991 and 47,781.50

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Solution

The third proportional to 33,991 and 47,781.50 is: 67,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991 : 47,781.50 = 47,781.50 : x
  2. Step 2: Convert to fraction form
    33,991/47,781.50 = 47,781.50/x
  3. Step 3: Cross multiply
    33,991x = 47,781.50 × 47,781.50
  4. Step 4: Simplify right side
    33,991x = 2,283,071,742.25
  5. Step 5: Solve for x
    x = 2,283,071,742.25/33,991
  6. Step 6: Final answer
    x = 67,166.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.