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Finding the Third Proportional to 33,545 and 73,570

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Solution

The third proportional to 33,545 and 73,570 is: 161,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,545 : 73,570 = 73,570 : x
  2. Step 2: Convert to fraction form
    33,545/73,570 = 73,570/x
  3. Step 3: Cross multiply
    33,545x = 73,570 × 73,570
  4. Step 4: Simplify right side
    33,545x = 5,412,544,900
  5. Step 5: Solve for x
    x = 5,412,544,900/33,545
  6. Step 6: Final answer
    x = 161,351.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.