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Finding the Third Proportional to 36,833.63 and 80,414.25

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Solution

The third proportional to 36,833.63 and 80,414.25 is: 175,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,833.63 : 80,414.25 = 80,414.25 : x
  2. Step 2: Convert to fraction form
    36,833.63/80,414.25 = 80,414.25/x
  3. Step 3: Cross multiply
    36,833.63x = 80,414.25 × 80,414.25
  4. Step 4: Simplify right side
    36,833.63x = 6,466,451,603.06
  5. Step 5: Solve for x
    x = 6,466,451,603.06/36,833.63
  6. Step 6: Final answer
    x = 175,558.38

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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.