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Finding the Third Proportional to 40,012 and 92,636

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Solution

The third proportional to 40,012 and 92,636 is: 214,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012 : 92,636 = 92,636 : x
  2. Step 2: Convert to fraction form
    40,012/92,636 = 92,636/x
  3. Step 3: Cross multiply
    40,012x = 92,636 × 92,636
  4. Step 4: Simplify right side
    40,012x = 8,581,428,496
  5. Step 5: Solve for x
    x = 8,581,428,496/40,012
  6. Step 6: Final answer
    x = 214,471.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.