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Finding the Third Proportional to 30,993.50 and 67,747

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Solution

The third proportional to 30,993.50 and 67,747 is: 148,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.50 : 67,747 = 67,747 : x
  2. Step 2: Convert to fraction form
    30,993.50/67,747 = 67,747/x
  3. Step 3: Cross multiply
    30,993.50x = 67,747 × 67,747
  4. Step 4: Simplify right side
    30,993.50x = 4,589,656,009
  5. Step 5: Solve for x
    x = 4,589,656,009/30,993.50
  6. Step 6: Final answer
    x = 148,084.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.