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Finding the Third Proportional to 4,797.75 and 10,324.31

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Solution

The third proportional to 4,797.75 and 10,324.31 is: 22,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.75 : 10,324.31 = 10,324.31 : x
  2. Step 2: Convert to fraction form
    4,797.75/10,324.31 = 10,324.31/x
  3. Step 3: Cross multiply
    4,797.75x = 10,324.31 × 10,324.31
  4. Step 4: Simplify right side
    4,797.75x = 106,591,428.60
  5. Step 5: Solve for x
    x = 106,591,428.60/4,797.75
  6. Step 6: Final answer
    x = 22,216.96

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Why These Related Problems?

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