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Finding the Third Proportional to 34,099.31 and 73,625.63

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Solution

The third proportional to 34,099.31 and 73,625.63 is: 158,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099.31 : 73,625.63 = 73,625.63 : x
  2. Step 2: Convert to fraction form
    34,099.31/73,625.63 = 73,625.63/x
  3. Step 3: Cross multiply
    34,099.31x = 73,625.63 × 73,625.63
  4. Step 4: Simplify right side
    34,099.31x = 5,420,732,656.64
  5. Step 5: Solve for x
    x = 5,420,732,656.64/34,099.31
  6. Step 6: Final answer
    x = 158,968.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.