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Finding the Third Proportional to 11,393.44 and 17,242.31

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Solution

The third proportional to 11,393.44 and 17,242.31 is: 26,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.44 : 17,242.31 = 17,242.31 : x
  2. Step 2: Convert to fraction form
    11,393.44/17,242.31 = 17,242.31/x
  3. Step 3: Cross multiply
    11,393.44x = 17,242.31 × 17,242.31
  4. Step 4: Simplify right side
    11,393.44x = 297,297,340.35
  5. Step 5: Solve for x
    x = 297,297,340.35/11,393.44
  6. Step 6: Final answer
    x = 26,093.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.