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Finding the Third Proportional to 5,458.22 and 11,574.56

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Solution

The third proportional to 5,458.22 and 11,574.56 is: 24,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.22 : 11,574.56 = 11,574.56 : x
  2. Step 2: Convert to fraction form
    5,458.22/11,574.56 = 11,574.56/x
  3. Step 3: Cross multiply
    5,458.22x = 11,574.56 × 11,574.56
  4. Step 4: Simplify right side
    5,458.22x = 133,970,497.07
  5. Step 5: Solve for x
    x = 133,970,497.07/5,458.22
  6. Step 6: Final answer
    x = 24,544.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.