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Finding the Third Proportional to 11,706.25 and 17,949.75

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Solution

The third proportional to 11,706.25 and 17,949.75 is: 27,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.25 : 17,949.75 = 17,949.75 : x
  2. Step 2: Convert to fraction form
    11,706.25/17,949.75 = 17,949.75/x
  3. Step 3: Cross multiply
    11,706.25x = 17,949.75 × 17,949.75
  4. Step 4: Simplify right side
    11,706.25x = 322,193,525.06
  5. Step 5: Solve for x
    x = 322,193,525.06/11,706.25
  6. Step 6: Final answer
    x = 27,523.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.