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Finding the Third Proportional to 36,121 and 47,927.75

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Solution

The third proportional to 36,121 and 47,927.75 is: 63,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,121 : 47,927.75 = 47,927.75 : x
  2. Step 2: Convert to fraction form
    36,121/47,927.75 = 47,927.75/x
  3. Step 3: Cross multiply
    36,121x = 47,927.75 × 47,927.75
  4. Step 4: Simplify right side
    36,121x = 2,297,069,220.06
  5. Step 5: Solve for x
    x = 2,297,069,220.06/36,121
  6. Step 6: Final answer
    x = 63,593.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.