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Finding the Third Proportional to 12,704 and 13,856

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Solution

The third proportional to 12,704 and 13,856 is: 15,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 13,856 = 13,856 : x
  2. Step 2: Convert to fraction form
    12,704/13,856 = 13,856/x
  3. Step 3: Cross multiply
    12,704x = 13,856 × 13,856
  4. Step 4: Simplify right side
    12,704x = 191,988,736
  5. Step 5: Solve for x
    x = 191,988,736/12,704
  6. Step 6: Final answer
    x = 15,112.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.