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Finding the Third Proportional to 14,096 and 33,394

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Solution

The third proportional to 14,096 and 33,394 is: 79,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 33,394 = 33,394 : x
  2. Step 2: Convert to fraction form
    14,096/33,394 = 33,394/x
  3. Step 3: Cross multiply
    14,096x = 33,394 × 33,394
  4. Step 4: Simplify right side
    14,096x = 1,115,159,236
  5. Step 5: Solve for x
    x = 1,115,159,236/14,096
  6. Step 6: Final answer
    x = 79,111.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.