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Finding the Third Proportional to 40,993.50 and 61,491

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Solution

The third proportional to 40,993.50 and 61,491 is: 92,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,993.50 : 61,491 = 61,491 : x
  2. Step 2: Convert to fraction form
    40,993.50/61,491 = 61,491/x
  3. Step 3: Cross multiply
    40,993.50x = 61,491 × 61,491
  4. Step 4: Simplify right side
    40,993.50x = 3,781,143,081
  5. Step 5: Solve for x
    x = 3,781,143,081/40,993.50
  6. Step 6: Final answer
    x = 92,237.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.