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Finding the Third Proportional to 33,650 and 79,409

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Solution

The third proportional to 33,650 and 79,409 is: 187,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650 : 79,409 = 79,409 : x
  2. Step 2: Convert to fraction form
    33,650/79,409 = 79,409/x
  3. Step 3: Cross multiply
    33,650x = 79,409 × 79,409
  4. Step 4: Simplify right side
    33,650x = 6,305,789,281
  5. Step 5: Solve for x
    x = 6,305,789,281/33,650
  6. Step 6: Final answer
    x = 187,393.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.