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Finding the Third Proportional to 37,847.25 and 83,166.75

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Solution

The third proportional to 37,847.25 and 83,166.75 is: 182,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.25 : 83,166.75 = 83,166.75 : x
  2. Step 2: Convert to fraction form
    37,847.25/83,166.75 = 83,166.75/x
  3. Step 3: Cross multiply
    37,847.25x = 83,166.75 × 83,166.75
  4. Step 4: Simplify right side
    37,847.25x = 6,916,708,305.56
  5. Step 5: Solve for x
    x = 6,916,708,305.56/37,847.25
  6. Step 6: Final answer
    x = 182,753.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.