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Finding the Third Proportional to 5,895 and 13,896

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Solution

The third proportional to 5,895 and 13,896 is: 32,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895 : 13,896 = 13,896 : x
  2. Step 2: Convert to fraction form
    5,895/13,896 = 13,896/x
  3. Step 3: Cross multiply
    5,895x = 13,896 × 13,896
  4. Step 4: Simplify right side
    5,895x = 193,098,816
  5. Step 5: Solve for x
    x = 193,098,816/5,895
  6. Step 6: Final answer
    x = 32,756.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.