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Finding the Third Proportional to 4,760 and 7,812

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Solution

The third proportional to 4,760 and 7,812 is: 12,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760 : 7,812 = 7,812 : x
  2. Step 2: Convert to fraction form
    4,760/7,812 = 7,812/x
  3. Step 3: Cross multiply
    4,760x = 7,812 × 7,812
  4. Step 4: Simplify right side
    4,760x = 61,027,344
  5. Step 5: Solve for x
    x = 61,027,344/4,760
  6. Step 6: Final answer
    x = 12,820.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.