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Finding the Third Proportional to 4,792.92 and 10,311.05

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Solution

The third proportional to 4,792.92 and 10,311.05 is: 22,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.92 : 10,311.05 = 10,311.05 : x
  2. Step 2: Convert to fraction form
    4,792.92/10,311.05 = 10,311.05/x
  3. Step 3: Cross multiply
    4,792.92x = 10,311.05 × 10,311.05
  4. Step 4: Simplify right side
    4,792.92x = 106,317,687.66
  5. Step 5: Solve for x
    x = 106,317,687.66/4,792.92
  6. Step 6: Final answer
    x = 22,182.23

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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.