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Finding the Third Proportional to 33,039 and 47,098

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Solution

The third proportional to 33,039 and 47,098 is: 67,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039 : 47,098 = 47,098 : x
  2. Step 2: Convert to fraction form
    33,039/47,098 = 47,098/x
  3. Step 3: Cross multiply
    33,039x = 47,098 × 47,098
  4. Step 4: Simplify right side
    33,039x = 2,218,221,604
  5. Step 5: Solve for x
    x = 2,218,221,604/33,039
  6. Step 6: Final answer
    x = 67,139.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.