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Finding the Third Proportional to 47,135.44 and 65,933.25

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Solution

The third proportional to 47,135.44 and 65,933.25 is: 92,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,135.44 : 65,933.25 = 65,933.25 : x
  2. Step 2: Convert to fraction form
    47,135.44/65,933.25 = 65,933.25/x
  3. Step 3: Cross multiply
    47,135.44x = 65,933.25 × 65,933.25
  4. Step 4: Simplify right side
    47,135.44x = 4,347,193,455.56
  5. Step 5: Solve for x
    x = 4,347,193,455.56/47,135.44
  6. Step 6: Final answer
    x = 92,227.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.