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Finding the Third Proportional to 33,652.50 and 50,478.75

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Solution

The third proportional to 33,652.50 and 50,478.75 is: 75,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.50 : 50,478.75 = 50,478.75 : x
  2. Step 2: Convert to fraction form
    33,652.50/50,478.75 = 50,478.75/x
  3. Step 3: Cross multiply
    33,652.50x = 50,478.75 × 50,478.75
  4. Step 4: Simplify right side
    33,652.50x = 2,548,104,201.56
  5. Step 5: Solve for x
    x = 2,548,104,201.56/33,652.50
  6. Step 6: Final answer
    x = 75,718.13

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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.