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Finding the Third Proportional to 11,251.13 and 16,813.69

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Solution

The third proportional to 11,251.13 and 16,813.69 is: 25,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.13 : 16,813.69 = 16,813.69 : x
  2. Step 2: Convert to fraction form
    11,251.13/16,813.69 = 16,813.69/x
  3. Step 3: Cross multiply
    11,251.13x = 16,813.69 × 16,813.69
  4. Step 4: Simplify right side
    11,251.13x = 282,700,087.35
  5. Step 5: Solve for x
    x = 282,700,087.35/11,251.13
  6. Step 6: Final answer
    x = 25,126.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.