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Finding the Third Proportional to 37,827.56 and 81,917.44

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Solution

The third proportional to 37,827.56 and 81,917.44 is: 177,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827.56 : 81,917.44 = 81,917.44 : x
  2. Step 2: Convert to fraction form
    37,827.56/81,917.44 = 81,917.44/x
  3. Step 3: Cross multiply
    37,827.56x = 81,917.44 × 81,917.44
  4. Step 4: Simplify right side
    37,827.56x = 6,710,466,566.57
  5. Step 5: Solve for x
    x = 6,710,466,566.57/37,827.56
  6. Step 6: Final answer
    x = 177,396.22

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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.