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Finding the Third Proportional to 14,311 and 21,893

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Solution

The third proportional to 14,311 and 21,893 is: 33,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311 : 21,893 = 21,893 : x
  2. Step 2: Convert to fraction form
    14,311/21,893 = 21,893/x
  3. Step 3: Cross multiply
    14,311x = 21,893 × 21,893
  4. Step 4: Simplify right side
    14,311x = 479,303,449
  5. Step 5: Solve for x
    x = 479,303,449/14,311
  6. Step 6: Final answer
    x = 33,491.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.