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Finding the Third Proportional to 4,812 and 7,231

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Solution

The third proportional to 4,812 and 7,231 is: 10,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812 : 7,231 = 7,231 : x
  2. Step 2: Convert to fraction form
    4,812/7,231 = 7,231/x
  3. Step 3: Cross multiply
    4,812x = 7,231 × 7,231
  4. Step 4: Simplify right side
    4,812x = 52,287,361
  5. Step 5: Solve for x
    x = 52,287,361/4,812
  6. Step 6: Final answer
    x = 10,866.04

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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.