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Finding the Third Proportional to 37,431.56 and 80,339.63

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Solution

The third proportional to 37,431.56 and 80,339.63 is: 172,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431.56 : 80,339.63 = 80,339.63 : x
  2. Step 2: Convert to fraction form
    37,431.56/80,339.63 = 80,339.63/x
  3. Step 3: Cross multiply
    37,431.56x = 80,339.63 × 80,339.63
  4. Step 4: Simplify right side
    37,431.56x = 6,454,455,345.14
  5. Step 5: Solve for x
    x = 6,454,455,345.14/37,431.56
  6. Step 6: Final answer
    x = 172,433.50

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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.