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Finding the Third Proportional to 4,787.44 and 10,744.31

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Solution

The third proportional to 4,787.44 and 10,744.31 is: 24,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.44 : 10,744.31 = 10,744.31 : x
  2. Step 2: Convert to fraction form
    4,787.44/10,744.31 = 10,744.31/x
  3. Step 3: Cross multiply
    4,787.44x = 10,744.31 × 10,744.31
  4. Step 4: Simplify right side
    4,787.44x = 115,440,251.10
  5. Step 5: Solve for x
    x = 115,440,251.10/4,787.44
  6. Step 6: Final answer
    x = 24,113.16

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.