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Finding the Third Proportional to 33,222 and 77,631

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Solution

The third proportional to 33,222 and 77,631 is: 181,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222 : 77,631 = 77,631 : x
  2. Step 2: Convert to fraction form
    33,222/77,631 = 77,631/x
  3. Step 3: Cross multiply
    33,222x = 77,631 × 77,631
  4. Step 4: Simplify right side
    33,222x = 6,026,572,161
  5. Step 5: Solve for x
    x = 6,026,572,161/33,222
  6. Step 6: Final answer
    x = 181,403.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.