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Finding the Third Proportional to 4,743.14 and 10,393.73

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Solution

The third proportional to 4,743.14 and 10,393.73 is: 22,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.14 : 10,393.73 = 10,393.73 : x
  2. Step 2: Convert to fraction form
    4,743.14/10,393.73 = 10,393.73/x
  3. Step 3: Cross multiply
    4,743.14x = 10,393.73 × 10,393.73
  4. Step 4: Simplify right side
    4,743.14x = 108,029,714.26
  5. Step 5: Solve for x
    x = 108,029,714.26/4,743.14
  6. Step 6: Final answer
    x = 22,775.99

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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.