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Finding the Third Proportional to 11,736 and 12,924

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Solution

The third proportional to 11,736 and 12,924 is: 14,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736 : 12,924 = 12,924 : x
  2. Step 2: Convert to fraction form
    11,736/12,924 = 12,924/x
  3. Step 3: Cross multiply
    11,736x = 12,924 × 12,924
  4. Step 4: Simplify right side
    11,736x = 167,029,776
  5. Step 5: Solve for x
    x = 167,029,776/11,736
  6. Step 6: Final answer
    x = 14,232.26

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.