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Finding the Third Proportional to 3,958.24 and 8,402.48

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Solution

The third proportional to 3,958.24 and 8,402.48 is: 17,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.24 : 8,402.48 = 8,402.48 : x
  2. Step 2: Convert to fraction form
    3,958.24/8,402.48 = 8,402.48/x
  3. Step 3: Cross multiply
    3,958.24x = 8,402.48 × 8,402.48
  4. Step 4: Simplify right side
    3,958.24x = 70,601,743.67
  5. Step 5: Solve for x
    x = 70,601,743.67/3,958.24
  6. Step 6: Final answer
    x = 17,836.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.