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Finding the Third Proportional to 11,135.39 and 24,011.30

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Solution

The third proportional to 11,135.39 and 24,011.30 is: 51,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.39 : 24,011.30 = 24,011.30 : x
  2. Step 2: Convert to fraction form
    11,135.39/24,011.30 = 24,011.30/x
  3. Step 3: Cross multiply
    11,135.39x = 24,011.30 × 24,011.30
  4. Step 4: Simplify right side
    11,135.39x = 576,542,377.62
  5. Step 5: Solve for x
    x = 576,542,377.62/11,135.39
  6. Step 6: Final answer
    x = 51,775.68

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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.