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Finding the Third Proportional to 47,958.75 and 75,232.97

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Solution

The third proportional to 47,958.75 and 75,232.97 is: 118,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958.75 : 75,232.97 = 75,232.97 : x
  2. Step 2: Convert to fraction form
    47,958.75/75,232.97 = 75,232.97/x
  3. Step 3: Cross multiply
    47,958.75x = 75,232.97 × 75,232.97
  4. Step 4: Simplify right side
    47,958.75x = 5,659,999,586.94
  5. Step 5: Solve for x
    x = 5,659,999,586.94/47,958.75
  6. Step 6: Final answer
    x = 118,018.08

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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.