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Finding the Third Proportional to 33,753 and 49,530

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Solution

The third proportional to 33,753 and 49,530 is: 72,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,753 : 49,530 = 49,530 : x
  2. Step 2: Convert to fraction form
    33,753/49,530 = 49,530/x
  3. Step 3: Cross multiply
    33,753x = 49,530 × 49,530
  4. Step 4: Simplify right side
    33,753x = 2,453,220,900
  5. Step 5: Solve for x
    x = 2,453,220,900/33,753
  6. Step 6: Final answer
    x = 72,681.57

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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.