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Finding the Third Proportional to 5,772.20 and 12,611.32

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Solution

The third proportional to 5,772.20 and 12,611.32 is: 27,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.20 : 12,611.32 = 12,611.32 : x
  2. Step 2: Convert to fraction form
    5,772.20/12,611.32 = 12,611.32/x
  3. Step 3: Cross multiply
    5,772.20x = 12,611.32 × 12,611.32
  4. Step 4: Simplify right side
    5,772.20x = 159,045,400.02
  5. Step 5: Solve for x
    x = 159,045,400.02/5,772.20
  6. Step 6: Final answer
    x = 27,553.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.