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Finding the Third Proportional to 33,640 and 49,480

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Solution

The third proportional to 33,640 and 49,480 is: 72,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640 : 49,480 = 49,480 : x
  2. Step 2: Convert to fraction form
    33,640/49,480 = 49,480/x
  3. Step 3: Cross multiply
    33,640x = 49,480 × 49,480
  4. Step 4: Simplify right side
    33,640x = 2,448,270,400
  5. Step 5: Solve for x
    x = 2,448,270,400/33,640
  6. Step 6: Final answer
    x = 72,778.55

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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.