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Finding the Third Proportional to 37,812 and 82,543

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Solution

The third proportional to 37,812 and 82,543 is: 180,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812 : 82,543 = 82,543 : x
  2. Step 2: Convert to fraction form
    37,812/82,543 = 82,543/x
  3. Step 3: Cross multiply
    37,812x = 82,543 × 82,543
  4. Step 4: Simplify right side
    37,812x = 6,813,346,849
  5. Step 5: Solve for x
    x = 6,813,346,849/37,812
  6. Step 6: Final answer
    x = 180,190.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.