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Finding the Third Proportional to 4,743.84 and 10,179.84

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Solution

The third proportional to 4,743.84 and 10,179.84 is: 21,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.84 : 10,179.84 = 10,179.84 : x
  2. Step 2: Convert to fraction form
    4,743.84/10,179.84 = 10,179.84/x
  3. Step 3: Cross multiply
    4,743.84x = 10,179.84 × 10,179.84
  4. Step 4: Simplify right side
    4,743.84x = 103,629,218.77
  5. Step 5: Solve for x
    x = 103,629,218.77/4,743.84
  6. Step 6: Final answer
    x = 21,844.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.