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Finding the Third Proportional to 12,019.96 and 26,115.86

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Solution

The third proportional to 12,019.96 and 26,115.86 is: 56,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.96 : 26,115.86 = 26,115.86 : x
  2. Step 2: Convert to fraction form
    12,019.96/26,115.86 = 26,115.86/x
  3. Step 3: Cross multiply
    12,019.96x = 26,115.86 × 26,115.86
  4. Step 4: Simplify right side
    12,019.96x = 682,037,906.86
  5. Step 5: Solve for x
    x = 682,037,906.86/12,019.96
  6. Step 6: Final answer
    x = 56,742.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.