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Finding the Third Proportional to 11,462 and 17,863

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Solution

The third proportional to 11,462 and 17,863 is: 27,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462 : 17,863 = 17,863 : x
  2. Step 2: Convert to fraction form
    11,462/17,863 = 17,863/x
  3. Step 3: Cross multiply
    11,462x = 17,863 × 17,863
  4. Step 4: Simplify right side
    11,462x = 319,086,769
  5. Step 5: Solve for x
    x = 319,086,769/11,462
  6. Step 6: Final answer
    x = 27,838.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.