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Finding the Third Proportional to 13,847.94 and 30,202.24

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Solution

The third proportional to 13,847.94 and 30,202.24 is: 65,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.94 : 30,202.24 = 30,202.24 : x
  2. Step 2: Convert to fraction form
    13,847.94/30,202.24 = 30,202.24/x
  3. Step 3: Cross multiply
    13,847.94x = 30,202.24 × 30,202.24
  4. Step 4: Simplify right side
    13,847.94x = 912,175,433.15
  5. Step 5: Solve for x
    x = 912,175,433.15/13,847.94
  6. Step 6: Final answer
    x = 65,870.83

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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.