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Finding the Third Proportional to 33,699 and 52,394

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Solution

The third proportional to 33,699 and 52,394 is: 81,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,699 : 52,394 = 52,394 : x
  2. Step 2: Convert to fraction form
    33,699/52,394 = 52,394/x
  3. Step 3: Cross multiply
    33,699x = 52,394 × 52,394
  4. Step 4: Simplify right side
    33,699x = 2,745,131,236
  5. Step 5: Solve for x
    x = 2,745,131,236/33,699
  6. Step 6: Final answer
    x = 81,460.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.