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Finding the Third Proportional to 38,508.75 and 82,768.50

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Solution

The third proportional to 38,508.75 and 82,768.50 is: 177,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.75 : 82,768.50 = 82,768.50 : x
  2. Step 2: Convert to fraction form
    38,508.75/82,768.50 = 82,768.50/x
  3. Step 3: Cross multiply
    38,508.75x = 82,768.50 × 82,768.50
  4. Step 4: Simplify right side
    38,508.75x = 6,850,624,592.25
  5. Step 5: Solve for x
    x = 6,850,624,592.25/38,508.75
  6. Step 6: Final answer
    x = 177,897.87

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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.