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Finding the Third Proportional to 33,960 and 51,669

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Solution

The third proportional to 33,960 and 51,669 is: 78,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960 : 51,669 = 51,669 : x
  2. Step 2: Convert to fraction form
    33,960/51,669 = 51,669/x
  3. Step 3: Cross multiply
    33,960x = 51,669 × 51,669
  4. Step 4: Simplify right side
    33,960x = 2,669,685,561
  5. Step 5: Solve for x
    x = 2,669,685,561/33,960
  6. Step 6: Final answer
    x = 78,612.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.