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Finding the Third Proportional to 33,464 and 51,844

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Solution

The third proportional to 33,464 and 51,844 is: 80,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464 : 51,844 = 51,844 : x
  2. Step 2: Convert to fraction form
    33,464/51,844 = 51,844/x
  3. Step 3: Cross multiply
    33,464x = 51,844 × 51,844
  4. Step 4: Simplify right side
    33,464x = 2,687,800,336
  5. Step 5: Solve for x
    x = 2,687,800,336/33,464
  6. Step 6: Final answer
    x = 80,319.16

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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.