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Finding the Third Proportional to 37,643.25 and 81,847.25

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Solution

The third proportional to 37,643.25 and 81,847.25 is: 177,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.25 : 81,847.25 = 81,847.25 : x
  2. Step 2: Convert to fraction form
    37,643.25/81,847.25 = 81,847.25/x
  3. Step 3: Cross multiply
    37,643.25x = 81,847.25 × 81,847.25
  4. Step 4: Simplify right side
    37,643.25x = 6,698,972,332.56
  5. Step 5: Solve for x
    x = 6,698,972,332.56/37,643.25
  6. Step 6: Final answer
    x = 177,959.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.