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Finding the Third Proportional to 33,607 and 49,642

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Solution

The third proportional to 33,607 and 49,642 is: 73,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,607 : 49,642 = 49,642 : x
  2. Step 2: Convert to fraction form
    33,607/49,642 = 49,642/x
  3. Step 3: Cross multiply
    33,607x = 49,642 × 49,642
  4. Step 4: Simplify right side
    33,607x = 2,464,328,164
  5. Step 5: Solve for x
    x = 2,464,328,164/33,607
  6. Step 6: Final answer
    x = 73,327.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.