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Finding the Third Proportional to 36,022.50 and 77,593.50

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Solution

The third proportional to 36,022.50 and 77,593.50 is: 167,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.50 : 77,593.50 = 77,593.50 : x
  2. Step 2: Convert to fraction form
    36,022.50/77,593.50 = 77,593.50/x
  3. Step 3: Cross multiply
    36,022.50x = 77,593.50 × 77,593.50
  4. Step 4: Simplify right side
    36,022.50x = 6,020,751,242.25
  5. Step 5: Solve for x
    x = 6,020,751,242.25/36,022.50
  6. Step 6: Final answer
    x = 167,138.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.