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Finding the Third Proportional to 11,214.50 and 17,414

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Solution

The third proportional to 11,214.50 and 17,414 is: 27,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.50 : 17,414 = 17,414 : x
  2. Step 2: Convert to fraction form
    11,214.50/17,414 = 17,414/x
  3. Step 3: Cross multiply
    11,214.50x = 17,414 × 17,414
  4. Step 4: Simplify right side
    11,214.50x = 303,247,396
  5. Step 5: Solve for x
    x = 303,247,396/11,214.50
  6. Step 6: Final answer
    x = 27,040.65

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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.