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Finding the Third Proportional to 37,840 and 82,230

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Solution

The third proportional to 37,840 and 82,230 is: 178,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840 : 82,230 = 82,230 : x
  2. Step 2: Convert to fraction form
    37,840/82,230 = 82,230/x
  3. Step 3: Cross multiply
    37,840x = 82,230 × 82,230
  4. Step 4: Simplify right side
    37,840x = 6,761,772,900
  5. Step 5: Solve for x
    x = 6,761,772,900/37,840
  6. Step 6: Final answer
    x = 178,693.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.