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Finding the Third Proportional to 11,530.78 and 17,296.31

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Solution

The third proportional to 11,530.78 and 17,296.31 is: 25,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.78 : 17,296.31 = 17,296.31 : x
  2. Step 2: Convert to fraction form
    11,530.78/17,296.31 = 17,296.31/x
  3. Step 3: Cross multiply
    11,530.78x = 17,296.31 × 17,296.31
  4. Step 4: Simplify right side
    11,530.78x = 299,162,426.10
  5. Step 5: Solve for x
    x = 299,162,426.10/11,530.78
  6. Step 6: Final answer
    x = 25,944.68

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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.