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Finding the Third Proportional to 33,305 and 50,177.50

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Solution

The third proportional to 33,305 and 50,177.50 is: 75,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305 : 50,177.50 = 50,177.50 : x
  2. Step 2: Convert to fraction form
    33,305/50,177.50 = 50,177.50/x
  3. Step 3: Cross multiply
    33,305x = 50,177.50 × 50,177.50
  4. Step 4: Simplify right side
    33,305x = 2,517,781,506.25
  5. Step 5: Solve for x
    x = 2,517,781,506.25/33,305
  6. Step 6: Final answer
    x = 75,597.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.