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Finding the Third Proportional to 1,613 and 3,863

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Solution

The third proportional to 1,613 and 3,863 is: 9,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613 : 3,863 = 3,863 : x
  2. Step 2: Convert to fraction form
    1,613/3,863 = 3,863/x
  3. Step 3: Cross multiply
    1,613x = 3,863 × 3,863
  4. Step 4: Simplify right side
    1,613x = 14,922,769
  5. Step 5: Solve for x
    x = 14,922,769/1,613
  6. Step 6: Final answer
    x = 9,251.56

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.