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Finding the Third Proportional to 11,534.91 and 25,226.44

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Solution

The third proportional to 11,534.91 and 25,226.44 is: 55,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.91 : 25,226.44 = 25,226.44 : x
  2. Step 2: Convert to fraction form
    11,534.91/25,226.44 = 25,226.44/x
  3. Step 3: Cross multiply
    11,534.91x = 25,226.44 × 25,226.44
  4. Step 4: Simplify right side
    11,534.91x = 636,373,148.94
  5. Step 5: Solve for x
    x = 636,373,148.94/11,534.91
  6. Step 6: Final answer
    x = 55,169.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.