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Finding the Third Proportional to 47,795.06 and 75,932.44

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Solution

The third proportional to 47,795.06 and 75,932.44 is: 120,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,795.06 : 75,932.44 = 75,932.44 : x
  2. Step 2: Convert to fraction form
    47,795.06/75,932.44 = 75,932.44/x
  3. Step 3: Cross multiply
    47,795.06x = 75,932.44 × 75,932.44
  4. Step 4: Simplify right side
    47,795.06x = 5,765,735,064.69
  5. Step 5: Solve for x
    x = 5,765,735,064.69/47,795.06
  6. Step 6: Final answer
    x = 120,634.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.