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Finding the Third Proportional to 33,907 and 72,916

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Solution

The third proportional to 33,907 and 72,916 is: 156,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907 : 72,916 = 72,916 : x
  2. Step 2: Convert to fraction form
    33,907/72,916 = 72,916/x
  3. Step 3: Cross multiply
    33,907x = 72,916 × 72,916
  4. Step 4: Simplify right side
    33,907x = 5,316,743,056
  5. Step 5: Solve for x
    x = 5,316,743,056/33,907
  6. Step 6: Final answer
    x = 156,803.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.