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Finding the Third Proportional to 11,343.38 and 17,026.31

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Solution

The third proportional to 11,343.38 and 17,026.31 is: 25,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.38 : 17,026.31 = 17,026.31 : x
  2. Step 2: Convert to fraction form
    11,343.38/17,026.31 = 17,026.31/x
  3. Step 3: Cross multiply
    11,343.38x = 17,026.31 × 17,026.31
  4. Step 4: Simplify right side
    11,343.38x = 289,895,317.35
  5. Step 5: Solve for x
    x = 289,895,317.35/11,343.38
  6. Step 6: Final answer
    x = 25,556.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.