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Finding the Third Proportional to 5,200.88 and 11,216.81

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Solution

The third proportional to 5,200.88 and 11,216.81 is: 24,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 11,216.81 = 11,216.81 : x
  2. Step 2: Convert to fraction form
    5,200.88/11,216.81 = 11,216.81/x
  3. Step 3: Cross multiply
    5,200.88x = 11,216.81 × 11,216.81
  4. Step 4: Simplify right side
    5,200.88x = 125,816,882.66
  5. Step 5: Solve for x
    x = 125,816,882.66/5,200.88
  6. Step 6: Final answer
    x = 24,191.48

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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.