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Finding the Third Proportional to 5,380.17 and 11,529.21

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Solution

The third proportional to 5,380.17 and 11,529.21 is: 24,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.17 : 11,529.21 = 11,529.21 : x
  2. Step 2: Convert to fraction form
    5,380.17/11,529.21 = 11,529.21/x
  3. Step 3: Cross multiply
    5,380.17x = 11,529.21 × 11,529.21
  4. Step 4: Simplify right side
    5,380.17x = 132,922,704.84
  5. Step 5: Solve for x
    x = 132,922,704.84/5,380.17
  6. Step 6: Final answer
    x = 24,706.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.