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Finding the Third Proportional to 37,634.63 and 80,098.88

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Solution

The third proportional to 37,634.63 and 80,098.88 is: 170,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634.63 : 80,098.88 = 80,098.88 : x
  2. Step 2: Convert to fraction form
    37,634.63/80,098.88 = 80,098.88/x
  3. Step 3: Cross multiply
    37,634.63x = 80,098.88 × 80,098.88
  4. Step 4: Simplify right side
    37,634.63x = 6,415,829,776.27
  5. Step 5: Solve for x
    x = 6,415,829,776.27/37,634.63
  6. Step 6: Final answer
    x = 170,476.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.