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Finding the Third Proportional to 17,082.77 and 37,527.68

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Solution

The third proportional to 17,082.77 and 37,527.68 is: 82,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.77 : 37,527.68 = 37,527.68 : x
  2. Step 2: Convert to fraction form
    17,082.77/37,527.68 = 37,527.68/x
  3. Step 3: Cross multiply
    17,082.77x = 37,527.68 × 37,527.68
  4. Step 4: Simplify right side
    17,082.77x = 1,408,326,742.73
  5. Step 5: Solve for x
    x = 1,408,326,742.73/17,082.77
  6. Step 6: Final answer
    x = 82,441.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.