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Finding the Third Proportional to 32,920.50 and 50,190.75

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Solution

The third proportional to 32,920.50 and 50,190.75 is: 76,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.50 : 50,190.75 = 50,190.75 : x
  2. Step 2: Convert to fraction form
    32,920.50/50,190.75 = 50,190.75/x
  3. Step 3: Cross multiply
    32,920.50x = 50,190.75 × 50,190.75
  4. Step 4: Simplify right side
    32,920.50x = 2,519,111,385.56
  5. Step 5: Solve for x
    x = 2,519,111,385.56/32,920.50
  6. Step 6: Final answer
    x = 76,521.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.