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Finding the Third Proportional to 33,232 and 75,760

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Solution

The third proportional to 33,232 and 75,760 is: 172,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232 : 75,760 = 75,760 : x
  2. Step 2: Convert to fraction form
    33,232/75,760 = 75,760/x
  3. Step 3: Cross multiply
    33,232x = 75,760 × 75,760
  4. Step 4: Simplify right side
    33,232x = 5,739,577,600
  5. Step 5: Solve for x
    x = 5,739,577,600/33,232
  6. Step 6: Final answer
    x = 172,712.37

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.