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Finding the Third Proportional to 36,934.50 and 76,046.50

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Solution

The third proportional to 36,934.50 and 76,046.50 is: 156,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,934.50 : 76,046.50 = 76,046.50 : x
  2. Step 2: Convert to fraction form
    36,934.50/76,046.50 = 76,046.50/x
  3. Step 3: Cross multiply
    36,934.50x = 76,046.50 × 76,046.50
  4. Step 4: Simplify right side
    36,934.50x = 5,783,070,162.25
  5. Step 5: Solve for x
    x = 5,783,070,162.25/36,934.50
  6. Step 6: Final answer
    x = 156,576.38

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.