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Finding the Third Proportional to 4,947.75 and 7,234.31

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Solution

The third proportional to 4,947.75 and 7,234.31 is: 10,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.75 : 7,234.31 = 7,234.31 : x
  2. Step 2: Convert to fraction form
    4,947.75/7,234.31 = 7,234.31/x
  3. Step 3: Cross multiply
    4,947.75x = 7,234.31 × 7,234.31
  4. Step 4: Simplify right side
    4,947.75x = 52,335,277.35
  5. Step 5: Solve for x
    x = 52,335,277.35/4,947.75
  6. Step 6: Final answer
    x = 10,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.