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Finding the Third Proportional to 23,947.75 and 52,040.75

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Solution

The third proportional to 23,947.75 and 52,040.75 is: 113,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947.75 : 52,040.75 = 52,040.75 : x
  2. Step 2: Convert to fraction form
    23,947.75/52,040.75 = 52,040.75/x
  3. Step 3: Cross multiply
    23,947.75x = 52,040.75 × 52,040.75
  4. Step 4: Simplify right side
    23,947.75x = 2,708,239,660.56
  5. Step 5: Solve for x
    x = 2,708,239,660.56/23,947.75
  6. Step 6: Final answer
    x = 113,089.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.