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Finding the Third Proportional to 5,226.19 and 11,269.13

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Solution

The third proportional to 5,226.19 and 11,269.13 is: 24,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.19 : 11,269.13 = 11,269.13 : x
  2. Step 2: Convert to fraction form
    5,226.19/11,269.13 = 11,269.13/x
  3. Step 3: Cross multiply
    5,226.19x = 11,269.13 × 11,269.13
  4. Step 4: Simplify right side
    5,226.19x = 126,993,178.27
  5. Step 5: Solve for x
    x = 126,993,178.27/5,226.19
  6. Step 6: Final answer
    x = 24,299.39

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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.