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Finding the Third Proportional to 33,838 and 49,651

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Solution

The third proportional to 33,838 and 49,651 is: 72,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838 : 49,651 = 49,651 : x
  2. Step 2: Convert to fraction form
    33,838/49,651 = 49,651/x
  3. Step 3: Cross multiply
    33,838x = 49,651 × 49,651
  4. Step 4: Simplify right side
    33,838x = 2,465,221,801
  5. Step 5: Solve for x
    x = 2,465,221,801/33,838
  6. Step 6: Final answer
    x = 72,853.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.