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Finding the Third Proportional to 36,941 and 54,101

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Solution

The third proportional to 36,941 and 54,101 is: 79,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941 : 54,101 = 54,101 : x
  2. Step 2: Convert to fraction form
    36,941/54,101 = 54,101/x
  3. Step 3: Cross multiply
    36,941x = 54,101 × 54,101
  4. Step 4: Simplify right side
    36,941x = 2,926,918,201
  5. Step 5: Solve for x
    x = 2,926,918,201/36,941
  6. Step 6: Final answer
    x = 79,232.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.