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Finding the Third Proportional to 4,947.75 and 10,749.38

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Solution

The third proportional to 4,947.75 and 10,749.38 is: 23,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.75 : 10,749.38 = 10,749.38 : x
  2. Step 2: Convert to fraction form
    4,947.75/10,749.38 = 10,749.38/x
  3. Step 3: Cross multiply
    4,947.75x = 10,749.38 × 10,749.38
  4. Step 4: Simplify right side
    4,947.75x = 115,549,062.89
  5. Step 5: Solve for x
    x = 115,549,062.89/4,947.75
  6. Step 6: Final answer
    x = 23,353.86

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