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Finding the Third Proportional to 41,937 and 91,650

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Solution

The third proportional to 41,937 and 91,650 is: 200,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,937 : 91,650 = 91,650 : x
  2. Step 2: Convert to fraction form
    41,937/91,650 = 91,650/x
  3. Step 3: Cross multiply
    41,937x = 91,650 × 91,650
  4. Step 4: Simplify right side
    41,937x = 8,399,722,500
  5. Step 5: Solve for x
    x = 8,399,722,500/41,937
  6. Step 6: Final answer
    x = 200,293.83

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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.