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Finding the Third Proportional to 33,294 and 50,295

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Solution

The third proportional to 33,294 and 50,295 is: 75,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,294 : 50,295 = 50,295 : x
  2. Step 2: Convert to fraction form
    33,294/50,295 = 50,295/x
  3. Step 3: Cross multiply
    33,294x = 50,295 × 50,295
  4. Step 4: Simplify right side
    33,294x = 2,529,587,025
  5. Step 5: Solve for x
    x = 2,529,587,025/33,294
  6. Step 6: Final answer
    x = 75,977.26

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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.