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Finding the Third Proportional to 41,584.50 and 90,277

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Solution

The third proportional to 41,584.50 and 90,277 is: 195,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,584.50 : 90,277 = 90,277 : x
  2. Step 2: Convert to fraction form
    41,584.50/90,277 = 90,277/x
  3. Step 3: Cross multiply
    41,584.50x = 90,277 × 90,277
  4. Step 4: Simplify right side
    41,584.50x = 8,149,936,729
  5. Step 5: Solve for x
    x = 8,149,936,729/41,584.50
  6. Step 6: Final answer
    x = 195,984.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.