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Finding the Third Proportional to 37,232.25 and 80,295.75

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Solution

The third proportional to 37,232.25 and 80,295.75 is: 173,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,232.25 : 80,295.75 = 80,295.75 : x
  2. Step 2: Convert to fraction form
    37,232.25/80,295.75 = 80,295.75/x
  3. Step 3: Cross multiply
    37,232.25x = 80,295.75 × 80,295.75
  4. Step 4: Simplify right side
    37,232.25x = 6,447,407,468.06
  5. Step 5: Solve for x
    x = 6,447,407,468.06/37,232.25
  6. Step 6: Final answer
    x = 173,167.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.