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Finding the Third Proportional to 37,372.50 and 87,329.25

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Solution

The third proportional to 37,372.50 and 87,329.25 is: 204,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,372.50 : 87,329.25 = 87,329.25 : x
  2. Step 2: Convert to fraction form
    37,372.50/87,329.25 = 87,329.25/x
  3. Step 3: Cross multiply
    37,372.50x = 87,329.25 × 87,329.25
  4. Step 4: Simplify right side
    37,372.50x = 7,626,397,905.56
  5. Step 5: Solve for x
    x = 7,626,397,905.56/37,372.50
  6. Step 6: Final answer
    x = 204,064.43

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.