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Finding the Third Proportional to 5,944 and 12,896

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Solution

The third proportional to 5,944 and 12,896 is: 27,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944 : 12,896 = 12,896 : x
  2. Step 2: Convert to fraction form
    5,944/12,896 = 12,896/x
  3. Step 3: Cross multiply
    5,944x = 12,896 × 12,896
  4. Step 4: Simplify right side
    5,944x = 166,306,816
  5. Step 5: Solve for x
    x = 166,306,816/5,944
  6. Step 6: Final answer
    x = 27,978.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.