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Finding the Third Proportional to 37,964.25 and 81,769.50

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Solution

The third proportional to 37,964.25 and 81,769.50 is: 176,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964.25 : 81,769.50 = 81,769.50 : x
  2. Step 2: Convert to fraction form
    37,964.25/81,769.50 = 81,769.50/x
  3. Step 3: Cross multiply
    37,964.25x = 81,769.50 × 81,769.50
  4. Step 4: Simplify right side
    37,964.25x = 6,686,251,130.25
  5. Step 5: Solve for x
    x = 6,686,251,130.25/37,964.25
  6. Step 6: Final answer
    x = 176,119.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.