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Finding the Third Proportional to 37,812 and 82,432

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Solution

The third proportional to 37,812 and 82,432 is: 179,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,812 : 82,432 = 82,432 : x
  2. Step 2: Convert to fraction form
    37,812/82,432 = 82,432/x
  3. Step 3: Cross multiply
    37,812x = 82,432 × 82,432
  4. Step 4: Simplify right side
    37,812x = 6,795,034,624
  5. Step 5: Solve for x
    x = 6,795,034,624/37,812
  6. Step 6: Final answer
    x = 179,705.77

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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.