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Finding the Third Proportional to 34,766.09 and 74,452.92

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Solution

The third proportional to 34,766.09 and 74,452.92 is: 159,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.09 : 74,452.92 = 74,452.92 : x
  2. Step 2: Convert to fraction form
    34,766.09/74,452.92 = 74,452.92/x
  3. Step 3: Cross multiply
    34,766.09x = 74,452.92 × 74,452.92
  4. Step 4: Simplify right side
    34,766.09x = 5,543,237,575.72
  5. Step 5: Solve for x
    x = 5,543,237,575.72/34,766.09
  6. Step 6: Final answer
    x = 159,443.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.