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Finding the Third Proportional to 41,337 and 90,589.50

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Solution

The third proportional to 41,337 and 90,589.50 is: 198,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,337 : 90,589.50 = 90,589.50 : x
  2. Step 2: Convert to fraction form
    41,337/90,589.50 = 90,589.50/x
  3. Step 3: Cross multiply
    41,337x = 90,589.50 × 90,589.50
  4. Step 4: Simplify right side
    41,337x = 8,206,457,510.25
  5. Step 5: Solve for x
    x = 8,206,457,510.25/41,337
  6. Step 6: Final answer
    x = 198,525.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.