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Finding the Third Proportional to 14,414 and 33,893

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Solution

The third proportional to 14,414 and 33,893 is: 79,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414 : 33,893 = 33,893 : x
  2. Step 2: Convert to fraction form
    14,414/33,893 = 33,893/x
  3. Step 3: Cross multiply
    14,414x = 33,893 × 33,893
  4. Step 4: Simplify right side
    14,414x = 1,148,735,449
  5. Step 5: Solve for x
    x = 1,148,735,449/14,414
  6. Step 6: Final answer
    x = 79,695.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.