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Finding the Third Proportional to 38,244 and 82,347

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Solution

The third proportional to 38,244 and 82,347 is: 177,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244 : 82,347 = 82,347 : x
  2. Step 2: Convert to fraction form
    38,244/82,347 = 82,347/x
  3. Step 3: Cross multiply
    38,244x = 82,347 × 82,347
  4. Step 4: Simplify right side
    38,244x = 6,781,028,409
  5. Step 5: Solve for x
    x = 6,781,028,409/38,244
  6. Step 6: Final answer
    x = 177,309.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.