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Finding the Third Proportional to 11,412.14 and 17,072.65

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Solution

The third proportional to 11,412.14 and 17,072.65 is: 25,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.14 : 17,072.65 = 17,072.65 : x
  2. Step 2: Convert to fraction form
    11,412.14/17,072.65 = 17,072.65/x
  3. Step 3: Cross multiply
    11,412.14x = 17,072.65 × 17,072.65
  4. Step 4: Simplify right side
    11,412.14x = 291,475,324.67
  5. Step 5: Solve for x
    x = 291,475,324.67/11,412.14
  6. Step 6: Final answer
    x = 25,540.81

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Why These Related Problems?

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