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Finding the Third Proportional to 11,517.31 and 17,357.13

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Solution

The third proportional to 11,517.31 and 17,357.13 is: 26,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.31 : 17,357.13 = 17,357.13 : x
  2. Step 2: Convert to fraction form
    11,517.31/17,357.13 = 17,357.13/x
  3. Step 3: Cross multiply
    11,517.31x = 17,357.13 × 17,357.13
  4. Step 4: Simplify right side
    11,517.31x = 301,269,788.27
  5. Step 5: Solve for x
    x = 301,269,788.27/11,517.31
  6. Step 6: Final answer
    x = 26,157.99

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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.