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Finding the Third Proportional to 33,405.75 and 50,382

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Solution

The third proportional to 33,405.75 and 50,382 is: 75,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405.75 : 50,382 = 50,382 : x
  2. Step 2: Convert to fraction form
    33,405.75/50,382 = 50,382/x
  3. Step 3: Cross multiply
    33,405.75x = 50,382 × 50,382
  4. Step 4: Simplify right side
    33,405.75x = 2,538,345,924
  5. Step 5: Solve for x
    x = 2,538,345,924/33,405.75
  6. Step 6: Final answer
    x = 75,985.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.