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Finding the Third Proportional to 33,569 and 47,057

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Solution

The third proportional to 33,569 and 47,057 is: 65,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,569 : 47,057 = 47,057 : x
  2. Step 2: Convert to fraction form
    33,569/47,057 = 47,057/x
  3. Step 3: Cross multiply
    33,569x = 47,057 × 47,057
  4. Step 4: Simplify right side
    33,569x = 2,214,361,249
  5. Step 5: Solve for x
    x = 2,214,361,249/33,569
  6. Step 6: Final answer
    x = 65,964.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.