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Finding the Third Proportional to 33,520 and 50,708

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Solution

The third proportional to 33,520 and 50,708 is: 76,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520 : 50,708 = 50,708 : x
  2. Step 2: Convert to fraction form
    33,520/50,708 = 50,708/x
  3. Step 3: Cross multiply
    33,520x = 50,708 × 50,708
  4. Step 4: Simplify right side
    33,520x = 2,571,301,264
  5. Step 5: Solve for x
    x = 2,571,301,264/33,520
  6. Step 6: Final answer
    x = 76,709.46

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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.