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Finding the Third Proportional to 36,122 and 55,589.75

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Solution

The third proportional to 36,122 and 55,589.75 is: 85,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122 : 55,589.75 = 55,589.75 : x
  2. Step 2: Convert to fraction form
    36,122/55,589.75 = 55,589.75/x
  3. Step 3: Cross multiply
    36,122x = 55,589.75 × 55,589.75
  4. Step 4: Simplify right side
    36,122x = 3,090,220,305.06
  5. Step 5: Solve for x
    x = 3,090,220,305.06/36,122
  6. Step 6: Final answer
    x = 85,549.54

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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.