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Finding the Third Proportional to 30,532.50 and 41,118.75

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Solution

The third proportional to 30,532.50 and 41,118.75 is: 55,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.50 : 41,118.75 = 41,118.75 : x
  2. Step 2: Convert to fraction form
    30,532.50/41,118.75 = 41,118.75/x
  3. Step 3: Cross multiply
    30,532.50x = 41,118.75 × 41,118.75
  4. Step 4: Simplify right side
    30,532.50x = 1,690,751,601.56
  5. Step 5: Solve for x
    x = 1,690,751,601.56/30,532.50
  6. Step 6: Final answer
    x = 55,375.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.