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Finding the Third Proportional to 36,491.77 and 80,909.51

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Solution

The third proportional to 36,491.77 and 80,909.51 is: 179,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491.77 : 80,909.51 = 80,909.51 : x
  2. Step 2: Convert to fraction form
    36,491.77/80,909.51 = 80,909.51/x
  3. Step 3: Cross multiply
    36,491.77x = 80,909.51 × 80,909.51
  4. Step 4: Simplify right side
    36,491.77x = 6,546,348,454.46
  5. Step 5: Solve for x
    x = 6,546,348,454.46/36,491.77
  6. Step 6: Final answer
    x = 179,392.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.