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Finding the Third Proportional to 11,260.69 and 17,674.31

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Solution

The third proportional to 11,260.69 and 17,674.31 is: 27,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260.69 : 17,674.31 = 17,674.31 : x
  2. Step 2: Convert to fraction form
    11,260.69/17,674.31 = 17,674.31/x
  3. Step 3: Cross multiply
    11,260.69x = 17,674.31 × 17,674.31
  4. Step 4: Simplify right side
    11,260.69x = 312,381,322.35
  5. Step 5: Solve for x
    x = 312,381,322.35/11,260.69
  6. Step 6: Final answer
    x = 27,740.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.