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Finding the Third Proportional to 33,056 and 50,357

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Solution

The third proportional to 33,056 and 50,357 is: 76,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056 : 50,357 = 50,357 : x
  2. Step 2: Convert to fraction form
    33,056/50,357 = 50,357/x
  3. Step 3: Cross multiply
    33,056x = 50,357 × 50,357
  4. Step 4: Simplify right side
    33,056x = 2,535,827,449
  5. Step 5: Solve for x
    x = 2,535,827,449/33,056
  6. Step 6: Final answer
    x = 76,713.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.