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Finding the Third Proportional to 36,965.53 and 57,912.47

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Solution

The third proportional to 36,965.53 and 57,912.47 is: 90,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,965.53 : 57,912.47 = 57,912.47 : x
  2. Step 2: Convert to fraction form
    36,965.53/57,912.47 = 57,912.47/x
  3. Step 3: Cross multiply
    36,965.53x = 57,912.47 × 57,912.47
  4. Step 4: Simplify right side
    36,965.53x = 3,353,854,036.72
  5. Step 5: Solve for x
    x = 3,353,854,036.72/36,965.53
  6. Step 6: Final answer
    x = 90,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.