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Finding the Third Proportional to 36,154 and 55,671

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Solution

The third proportional to 36,154 and 55,671 is: 85,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154 : 55,671 = 55,671 : x
  2. Step 2: Convert to fraction form
    36,154/55,671 = 55,671/x
  3. Step 3: Cross multiply
    36,154x = 55,671 × 55,671
  4. Step 4: Simplify right side
    36,154x = 3,099,260,241
  5. Step 5: Solve for x
    x = 3,099,260,241/36,154
  6. Step 6: Final answer
    x = 85,723.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.