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Finding the Third Proportional to 37,072.50 and 87,469.50

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Solution

The third proportional to 37,072.50 and 87,469.50 is: 206,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072.50 : 87,469.50 = 87,469.50 : x
  2. Step 2: Convert to fraction form
    37,072.50/87,469.50 = 87,469.50/x
  3. Step 3: Cross multiply
    37,072.50x = 87,469.50 × 87,469.50
  4. Step 4: Simplify right side
    37,072.50x = 7,650,913,430.25
  5. Step 5: Solve for x
    x = 7,650,913,430.25/37,072.50
  6. Step 6: Final answer
    x = 206,377.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.