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Finding the Third Proportional to 4,744.83 and 11,062.83

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Solution

The third proportional to 4,744.83 and 11,062.83 is: 25,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.83 : 11,062.83 = 11,062.83 : x
  2. Step 2: Convert to fraction form
    4,744.83/11,062.83 = 11,062.83/x
  3. Step 3: Cross multiply
    4,744.83x = 11,062.83 × 11,062.83
  4. Step 4: Simplify right side
    4,744.83x = 122,386,166.12
  5. Step 5: Solve for x
    x = 122,386,166.12/4,744.83
  6. Step 6: Final answer
    x = 25,793.59

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.