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Finding the Third Proportional to 32,205.75 and 68,691.75

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Solution

The third proportional to 32,205.75 and 68,691.75 is: 146,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.75 : 68,691.75 = 68,691.75 : x
  2. Step 2: Convert to fraction form
    32,205.75/68,691.75 = 68,691.75/x
  3. Step 3: Cross multiply
    32,205.75x = 68,691.75 × 68,691.75
  4. Step 4: Simplify right side
    32,205.75x = 4,718,556,518.06
  5. Step 5: Solve for x
    x = 4,718,556,518.06/32,205.75
  6. Step 6: Final answer
    x = 146,512.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.