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Finding the Third Proportional to 12,311.37 and 17,421.96

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Solution

The third proportional to 12,311.37 and 17,421.96 is: 24,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.37 : 17,421.96 = 17,421.96 : x
  2. Step 2: Convert to fraction form
    12,311.37/17,421.96 = 17,421.96/x
  3. Step 3: Cross multiply
    12,311.37x = 17,421.96 × 17,421.96
  4. Step 4: Simplify right side
    12,311.37x = 303,524,722.91
  5. Step 5: Solve for x
    x = 303,524,722.91/12,311.37
  6. Step 6: Final answer
    x = 24,654.02

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.