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Finding the Third Proportional to 5,896 and 13,918

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Solution

The third proportional to 5,896 and 13,918 is: 32,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 13,918 = 13,918 : x
  2. Step 2: Convert to fraction form
    5,896/13,918 = 13,918/x
  3. Step 3: Cross multiply
    5,896x = 13,918 × 13,918
  4. Step 4: Simplify right side
    5,896x = 193,710,724
  5. Step 5: Solve for x
    x = 193,710,724/5,896
  6. Step 6: Final answer
    x = 32,854.60

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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.