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Finding the Third Proportional to 33,480.75 and 45,471

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Solution

The third proportional to 33,480.75 and 45,471 is: 61,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480.75 : 45,471 = 45,471 : x
  2. Step 2: Convert to fraction form
    33,480.75/45,471 = 45,471/x
  3. Step 3: Cross multiply
    33,480.75x = 45,471 × 45,471
  4. Step 4: Simplify right side
    33,480.75x = 2,067,611,841
  5. Step 5: Solve for x
    x = 2,067,611,841/33,480.75
  6. Step 6: Final answer
    x = 61,755.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.