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Finding the Third Proportional to 5,162 and 6,283

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Solution

The third proportional to 5,162 and 6,283 is: 7,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162 : 6,283 = 6,283 : x
  2. Step 2: Convert to fraction form
    5,162/6,283 = 6,283/x
  3. Step 3: Cross multiply
    5,162x = 6,283 × 6,283
  4. Step 4: Simplify right side
    5,162x = 39,476,089
  5. Step 5: Solve for x
    x = 39,476,089/5,162
  6. Step 6: Final answer
    x = 7,647.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.