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Finding the Third Proportional to 33,048 and 50,347

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Solution

The third proportional to 33,048 and 50,347 is: 76,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048 : 50,347 = 50,347 : x
  2. Step 2: Convert to fraction form
    33,048/50,347 = 50,347/x
  3. Step 3: Cross multiply
    33,048x = 50,347 × 50,347
  4. Step 4: Simplify right side
    33,048x = 2,534,820,409
  5. Step 5: Solve for x
    x = 2,534,820,409/33,048
  6. Step 6: Final answer
    x = 76,701.17

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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.