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Finding the Third Proportional to 37,350.28 and 80,923.50

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Solution

The third proportional to 37,350.28 and 80,923.50 is: 175,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,350.28 : 80,923.50 = 80,923.50 : x
  2. Step 2: Convert to fraction form
    37,350.28/80,923.50 = 80,923.50/x
  3. Step 3: Cross multiply
    37,350.28x = 80,923.50 × 80,923.50
  4. Step 4: Simplify right side
    37,350.28x = 6,548,612,852.25
  5. Step 5: Solve for x
    x = 6,548,612,852.25/37,350.28
  6. Step 6: Final answer
    x = 175,329.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.