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Finding the Third Proportional to 11,548.13 and 17,245.69

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Solution

The third proportional to 11,548.13 and 17,245.69 is: 25,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.13 : 17,245.69 = 17,245.69 : x
  2. Step 2: Convert to fraction form
    11,548.13/17,245.69 = 17,245.69/x
  3. Step 3: Cross multiply
    11,548.13x = 17,245.69 × 17,245.69
  4. Step 4: Simplify right side
    11,548.13x = 297,413,737.35
  5. Step 5: Solve for x
    x = 297,413,737.35/11,548.13
  6. Step 6: Final answer
    x = 25,754.29

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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.