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Finding the Third Proportional to 38,288 and 82,726

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Solution

The third proportional to 38,288 and 82,726 is: 178,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288 : 82,726 = 82,726 : x
  2. Step 2: Convert to fraction form
    38,288/82,726 = 82,726/x
  3. Step 3: Cross multiply
    38,288x = 82,726 × 82,726
  4. Step 4: Simplify right side
    38,288x = 6,843,591,076
  5. Step 5: Solve for x
    x = 6,843,591,076/38,288
  6. Step 6: Final answer
    x = 178,739.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.