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Finding the Third Proportional to 5,896 and 12,845

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Solution

The third proportional to 5,896 and 12,845 is: 27,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 12,845 = 12,845 : x
  2. Step 2: Convert to fraction form
    5,896/12,845 = 12,845/x
  3. Step 3: Cross multiply
    5,896x = 12,845 × 12,845
  4. Step 4: Simplify right side
    5,896x = 164,994,025
  5. Step 5: Solve for x
    x = 164,994,025/5,896
  6. Step 6: Final answer
    x = 27,984.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.