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Finding the Third Proportional to 4,743.56 and 10,398.38

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Solution

The third proportional to 4,743.56 and 10,398.38 is: 22,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.56 : 10,398.38 = 10,398.38 : x
  2. Step 2: Convert to fraction form
    4,743.56/10,398.38 = 10,398.38/x
  3. Step 3: Cross multiply
    4,743.56x = 10,398.38 × 10,398.38
  4. Step 4: Simplify right side
    4,743.56x = 108,126,202.64
  5. Step 5: Solve for x
    x = 108,126,202.64/4,743.56
  6. Step 6: Final answer
    x = 22,794.30

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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.