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Finding the Third Proportional to 36,974 and 55,443

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Solution

The third proportional to 36,974 and 55,443 is: 83,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,974 : 55,443 = 55,443 : x
  2. Step 2: Convert to fraction form
    36,974/55,443 = 55,443/x
  3. Step 3: Cross multiply
    36,974x = 55,443 × 55,443
  4. Step 4: Simplify right side
    36,974x = 3,073,926,249
  5. Step 5: Solve for x
    x = 3,073,926,249/36,974
  6. Step 6: Final answer
    x = 83,137.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.