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Finding the Third Proportional to 5,186 and 11,972

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Solution

The third proportional to 5,186 and 11,972 is: 27,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 11,972 = 11,972 : x
  2. Step 2: Convert to fraction form
    5,186/11,972 = 11,972/x
  3. Step 3: Cross multiply
    5,186x = 11,972 × 11,972
  4. Step 4: Simplify right side
    5,186x = 143,328,784
  5. Step 5: Solve for x
    x = 143,328,784/5,186
  6. Step 6: Final answer
    x = 27,637.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.