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Finding the Third Proportional to 5,137.59 and 11,226.94

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Solution

The third proportional to 5,137.59 and 11,226.94 is: 24,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.59 : 11,226.94 = 11,226.94 : x
  2. Step 2: Convert to fraction form
    5,137.59/11,226.94 = 11,226.94/x
  3. Step 3: Cross multiply
    5,137.59x = 11,226.94 × 11,226.94
  4. Step 4: Simplify right side
    5,137.59x = 126,044,125.63
  5. Step 5: Solve for x
    x = 126,044,125.63/5,137.59
  6. Step 6: Final answer
    x = 24,533.69

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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.