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Finding the Third Proportional to 33,394 and 77,652

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Solution

The third proportional to 33,394 and 77,652 is: 180,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394 : 77,652 = 77,652 : x
  2. Step 2: Convert to fraction form
    33,394/77,652 = 77,652/x
  3. Step 3: Cross multiply
    33,394x = 77,652 × 77,652
  4. Step 4: Simplify right side
    33,394x = 6,029,833,104
  5. Step 5: Solve for x
    x = 6,029,833,104/33,394
  6. Step 6: Final answer
    x = 180,566.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.