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Finding the Third Proportional to 36,221.81 and 55,408.69

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Solution

The third proportional to 36,221.81 and 55,408.69 is: 84,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,221.81 : 55,408.69 = 55,408.69 : x
  2. Step 2: Convert to fraction form
    36,221.81/55,408.69 = 55,408.69/x
  3. Step 3: Cross multiply
    36,221.81x = 55,408.69 × 55,408.69
  4. Step 4: Simplify right side
    36,221.81x = 3,070,122,650.47
  5. Step 5: Solve for x
    x = 3,070,122,650.47/36,221.81
  6. Step 6: Final answer
    x = 84,758.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.