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Finding the Third Proportional to 5,196.88 and 11,431.75

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Solution

The third proportional to 5,196.88 and 11,431.75 is: 25,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.88 : 11,431.75 = 11,431.75 : x
  2. Step 2: Convert to fraction form
    5,196.88/11,431.75 = 11,431.75/x
  3. Step 3: Cross multiply
    5,196.88x = 11,431.75 × 11,431.75
  4. Step 4: Simplify right side
    5,196.88x = 130,684,908.06
  5. Step 5: Solve for x
    x = 130,684,908.06/5,196.88
  6. Step 6: Final answer
    x = 25,146.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.