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Finding the Third Proportional to 37,043.25 and 80,009.44

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Solution

The third proportional to 37,043.25 and 80,009.44 is: 172,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,043.25 : 80,009.44 = 80,009.44 : x
  2. Step 2: Convert to fraction form
    37,043.25/80,009.44 = 80,009.44/x
  3. Step 3: Cross multiply
    37,043.25x = 80,009.44 × 80,009.44
  4. Step 4: Simplify right side
    37,043.25x = 6,401,510,089.07
  5. Step 5: Solve for x
    x = 6,401,510,089.07/37,043.25
  6. Step 6: Final answer
    x = 172,811.78

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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.