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Finding the Third Proportional to 5,200.45 and 11,351.39

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Solution

The third proportional to 5,200.45 and 11,351.39 is: 24,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.45 : 11,351.39 = 11,351.39 : x
  2. Step 2: Convert to fraction form
    5,200.45/11,351.39 = 11,351.39/x
  3. Step 3: Cross multiply
    5,200.45x = 11,351.39 × 11,351.39
  4. Step 4: Simplify right side
    5,200.45x = 128,854,069.12
  5. Step 5: Solve for x
    x = 128,854,069.12/5,200.45
  6. Step 6: Final answer
    x = 24,777.47

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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.