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Finding the Third Proportional to 4,735.97 and 10,393.31

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Solution

The third proportional to 4,735.97 and 10,393.31 is: 22,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.97 : 10,393.31 = 10,393.31 : x
  2. Step 2: Convert to fraction form
    4,735.97/10,393.31 = 10,393.31/x
  3. Step 3: Cross multiply
    4,735.97x = 10,393.31 × 10,393.31
  4. Step 4: Simplify right side
    4,735.97x = 108,020,944.72
  5. Step 5: Solve for x
    x = 108,020,944.72/4,735.97
  6. Step 6: Final answer
    x = 22,808.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.