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Finding the Third Proportional to 11,242.13 and 17,249.63

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Solution

The third proportional to 11,242.13 and 17,249.63 is: 26,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.13 : 17,249.63 = 17,249.63 : x
  2. Step 2: Convert to fraction form
    11,242.13/17,249.63 = 17,249.63/x
  3. Step 3: Cross multiply
    11,242.13x = 17,249.63 × 17,249.63
  4. Step 4: Simplify right side
    11,242.13x = 297,549,562.64
  5. Step 5: Solve for x
    x = 297,549,562.64/11,242.13
  6. Step 6: Final answer
    x = 26,467.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.