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Finding the Third Proportional to 5,896 and 11,372

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Solution

The third proportional to 5,896 and 11,372 is: 21,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 11,372 = 11,372 : x
  2. Step 2: Convert to fraction form
    5,896/11,372 = 11,372/x
  3. Step 3: Cross multiply
    5,896x = 11,372 × 11,372
  4. Step 4: Simplify right side
    5,896x = 129,322,384
  5. Step 5: Solve for x
    x = 129,322,384/5,896
  6. Step 6: Final answer
    x = 21,933.92

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.