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Finding the Third Proportional to 17,965.76 and 37,793.67

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Solution

The third proportional to 17,965.76 and 37,793.67 is: 79,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.76 : 37,793.67 = 37,793.67 : x
  2. Step 2: Convert to fraction form
    17,965.76/37,793.67 = 37,793.67/x
  3. Step 3: Cross multiply
    17,965.76x = 37,793.67 × 37,793.67
  4. Step 4: Simplify right side
    17,965.76x = 1,428,361,633.80
  5. Step 5: Solve for x
    x = 1,428,361,633.80/17,965.76
  6. Step 6: Final answer
    x = 79,504.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.