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Finding the Third Proportional to 33,725 and 49,494

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Solution

The third proportional to 33,725 and 49,494 is: 72,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725 : 49,494 = 49,494 : x
  2. Step 2: Convert to fraction form
    33,725/49,494 = 49,494/x
  3. Step 3: Cross multiply
    33,725x = 49,494 × 49,494
  4. Step 4: Simplify right side
    33,725x = 2,449,656,036
  5. Step 5: Solve for x
    x = 2,449,656,036/33,725
  6. Step 6: Final answer
    x = 72,636.21

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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.