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Finding the Third Proportional to 37,472.63 and 80,503.88

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Solution

The third proportional to 37,472.63 and 80,503.88 is: 172,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472.63 : 80,503.88 = 80,503.88 : x
  2. Step 2: Convert to fraction form
    37,472.63/80,503.88 = 80,503.88/x
  3. Step 3: Cross multiply
    37,472.63x = 80,503.88 × 80,503.88
  4. Step 4: Simplify right side
    37,472.63x = 6,480,873,890.02
  5. Step 5: Solve for x
    x = 6,480,873,890.02/37,472.63
  6. Step 6: Final answer
    x = 172,949.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.