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Finding the Third Proportional to 30,920.91 and 67,396.50

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Solution

The third proportional to 30,920.91 and 67,396.50 is: 146,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.91 : 67,396.50 = 67,396.50 : x
  2. Step 2: Convert to fraction form
    30,920.91/67,396.50 = 67,396.50/x
  3. Step 3: Cross multiply
    30,920.91x = 67,396.50 × 67,396.50
  4. Step 4: Simplify right side
    30,920.91x = 4,542,288,212.25
  5. Step 5: Solve for x
    x = 4,542,288,212.25/30,920.91
  6. Step 6: Final answer
    x = 146,900.23

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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.