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Finding the Third Proportional to 5,530.88 and 11,942.16

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Solution

The third proportional to 5,530.88 and 11,942.16 is: 25,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.88 : 11,942.16 = 11,942.16 : x
  2. Step 2: Convert to fraction form
    5,530.88/11,942.16 = 11,942.16/x
  3. Step 3: Cross multiply
    5,530.88x = 11,942.16 × 11,942.16
  4. Step 4: Simplify right side
    5,530.88x = 142,615,095.90
  5. Step 5: Solve for x
    x = 142,615,095.90/5,530.88
  6. Step 6: Final answer
    x = 25,785.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.