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Finding the Third Proportional to 30,729.25 and 67,020.50

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Solution

The third proportional to 30,729.25 and 67,020.50 is: 146,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.25 : 67,020.50 = 67,020.50 : x
  2. Step 2: Convert to fraction form
    30,729.25/67,020.50 = 67,020.50/x
  3. Step 3: Cross multiply
    30,729.25x = 67,020.50 × 67,020.50
  4. Step 4: Simplify right side
    30,729.25x = 4,491,747,420.25
  5. Step 5: Solve for x
    x = 4,491,747,420.25/30,729.25
  6. Step 6: Final answer
    x = 146,171.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.