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Finding the Third Proportional to 30,215.50 and 66,472.25

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Solution

The third proportional to 30,215.50 and 66,472.25 is: 146,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.50 : 66,472.25 = 66,472.25 : x
  2. Step 2: Convert to fraction form
    30,215.50/66,472.25 = 66,472.25/x
  3. Step 3: Cross multiply
    30,215.50x = 66,472.25 × 66,472.25
  4. Step 4: Simplify right side
    30,215.50x = 4,418,560,020.06
  5. Step 5: Solve for x
    x = 4,418,560,020.06/30,215.50
  6. Step 6: Final answer
    x = 146,234.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.