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Finding the Third Proportional to 2,282 and 4,771

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Solution

The third proportional to 2,282 and 4,771 is: 9,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282 : 4,771 = 4,771 : x
  2. Step 2: Convert to fraction form
    2,282/4,771 = 4,771/x
  3. Step 3: Cross multiply
    2,282x = 4,771 × 4,771
  4. Step 4: Simplify right side
    2,282x = 22,762,441
  5. Step 5: Solve for x
    x = 22,762,441/2,282
  6. Step 6: Final answer
    x = 9,974.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.