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Finding the Third Proportional to 37,447.31 and 80,427.94

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Solution

The third proportional to 37,447.31 and 80,427.94 is: 172,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.31 : 80,427.94 = 80,427.94 : x
  2. Step 2: Convert to fraction form
    37,447.31/80,427.94 = 80,427.94/x
  3. Step 3: Cross multiply
    37,447.31x = 80,427.94 × 80,427.94
  4. Step 4: Simplify right side
    37,447.31x = 6,468,653,130.50
  5. Step 5: Solve for x
    x = 6,468,653,130.50/37,447.31
  6. Step 6: Final answer
    x = 172,740.12

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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.