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Finding the Third Proportional to 17,471.25 and 37,723.50

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Solution

The third proportional to 17,471.25 and 37,723.50 is: 81,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.25 : 37,723.50 = 37,723.50 : x
  2. Step 2: Convert to fraction form
    17,471.25/37,723.50 = 37,723.50/x
  3. Step 3: Cross multiply
    17,471.25x = 37,723.50 × 37,723.50
  4. Step 4: Simplify right side
    17,471.25x = 1,423,062,452.25
  5. Step 5: Solve for x
    x = 1,423,062,452.25/17,471.25
  6. Step 6: Final answer
    x = 81,451.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.