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Finding the Third Proportional to 13,858 and 22,031

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Solution

The third proportional to 13,858 and 22,031 is: 35,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 22,031 = 22,031 : x
  2. Step 2: Convert to fraction form
    13,858/22,031 = 22,031/x
  3. Step 3: Cross multiply
    13,858x = 22,031 × 22,031
  4. Step 4: Simplify right side
    13,858x = 485,364,961
  5. Step 5: Solve for x
    x = 485,364,961/13,858
  6. Step 6: Final answer
    x = 35,024.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.