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Finding the Third Proportional to 33,234 and 73,032

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Solution

The third proportional to 33,234 and 73,032 is: 160,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234 : 73,032 = 73,032 : x
  2. Step 2: Convert to fraction form
    33,234/73,032 = 73,032/x
  3. Step 3: Cross multiply
    33,234x = 73,032 × 73,032
  4. Step 4: Simplify right side
    33,234x = 5,333,673,024
  5. Step 5: Solve for x
    x = 5,333,673,024/33,234
  6. Step 6: Final answer
    x = 160,488.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.