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Finding the Third Proportional to 34,516.13 and 74,474.44

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Solution

The third proportional to 34,516.13 and 74,474.44 is: 160,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516.13 : 74,474.44 = 74,474.44 : x
  2. Step 2: Convert to fraction form
    34,516.13/74,474.44 = 74,474.44/x
  3. Step 3: Cross multiply
    34,516.13x = 74,474.44 × 74,474.44
  4. Step 4: Simplify right side
    34,516.13x = 5,546,441,840.94
  5. Step 5: Solve for x
    x = 5,546,441,840.94/34,516.13
  6. Step 6: Final answer
    x = 160,691.32

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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.