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Finding the Third Proportional to 13,936 and 21,858

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Solution

The third proportional to 13,936 and 21,858 is: 34,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936 : 21,858 = 21,858 : x
  2. Step 2: Convert to fraction form
    13,936/21,858 = 21,858/x
  3. Step 3: Cross multiply
    13,936x = 21,858 × 21,858
  4. Step 4: Simplify right side
    13,936x = 477,772,164
  5. Step 5: Solve for x
    x = 477,772,164/13,936
  6. Step 6: Final answer
    x = 34,283.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.