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Finding the Third Proportional to 36,867 and 55,605.75

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Solution

The third proportional to 36,867 and 55,605.75 is: 83,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867 : 55,605.75 = 55,605.75 : x
  2. Step 2: Convert to fraction form
    36,867/55,605.75 = 55,605.75/x
  3. Step 3: Cross multiply
    36,867x = 55,605.75 × 55,605.75
  4. Step 4: Simplify right side
    36,867x = 3,091,999,433.06
  5. Step 5: Solve for x
    x = 3,091,999,433.06/36,867
  6. Step 6: Final answer
    x = 83,869.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.