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Finding the Third Proportional to 36,883.69 and 80,335.13

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Solution

The third proportional to 36,883.69 and 80,335.13 is: 174,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,883.69 : 80,335.13 = 80,335.13 : x
  2. Step 2: Convert to fraction form
    36,883.69/80,335.13 = 80,335.13/x
  3. Step 3: Cross multiply
    36,883.69x = 80,335.13 × 80,335.13
  4. Step 4: Simplify right side
    36,883.69x = 6,453,732,308.77
  5. Step 5: Solve for x
    x = 6,453,732,308.77/36,883.69
  6. Step 6: Final answer
    x = 174,975.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.