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Finding the Third Proportional to 36,331 and 55,553

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Solution

The third proportional to 36,331 and 55,553 is: 84,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,331 : 55,553 = 55,553 : x
  2. Step 2: Convert to fraction form
    36,331/55,553 = 55,553/x
  3. Step 3: Cross multiply
    36,331x = 55,553 × 55,553
  4. Step 4: Simplify right side
    36,331x = 3,086,135,809
  5. Step 5: Solve for x
    x = 3,086,135,809/36,331
  6. Step 6: Final answer
    x = 84,944.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.