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Finding the Third Proportional to 11,272.81 and 17,523.19

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Solution

The third proportional to 11,272.81 and 17,523.19 is: 27,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.81 : 17,523.19 = 17,523.19 : x
  2. Step 2: Convert to fraction form
    11,272.81/17,523.19 = 17,523.19/x
  3. Step 3: Cross multiply
    11,272.81x = 17,523.19 × 17,523.19
  4. Step 4: Simplify right side
    11,272.81x = 307,062,100.16
  5. Step 5: Solve for x
    x = 307,062,100.16/11,272.81
  6. Step 6: Final answer
    x = 27,239.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.