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Finding the Third Proportional to 4,831 and 7,261

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Solution

The third proportional to 4,831 and 7,261 is: 10,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831 : 7,261 = 7,261 : x
  2. Step 2: Convert to fraction form
    4,831/7,261 = 7,261/x
  3. Step 3: Cross multiply
    4,831x = 7,261 × 7,261
  4. Step 4: Simplify right side
    4,831x = 52,722,121
  5. Step 5: Solve for x
    x = 52,722,121/4,831
  6. Step 6: Final answer
    x = 10,913.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.