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Finding the Third Proportional to 30,766.50 and 66,247.88

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Solution

The third proportional to 30,766.50 and 66,247.88 is: 142,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.50 : 66,247.88 = 66,247.88 : x
  2. Step 2: Convert to fraction form
    30,766.50/66,247.88 = 66,247.88/x
  3. Step 3: Cross multiply
    30,766.50x = 66,247.88 × 66,247.88
  4. Step 4: Simplify right side
    30,766.50x = 4,388,780,942.02
  5. Step 5: Solve for x
    x = 4,388,780,942.02/30,766.50
  6. Step 6: Final answer
    x = 142,648.04

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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.