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Finding the Third Proportional to 8,554 and 11,497

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Solution

The third proportional to 8,554 and 11,497 is: 15,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554 : 11,497 = 11,497 : x
  2. Step 2: Convert to fraction form
    8,554/11,497 = 11,497/x
  3. Step 3: Cross multiply
    8,554x = 11,497 × 11,497
  4. Step 4: Simplify right side
    8,554x = 132,181,009
  5. Step 5: Solve for x
    x = 132,181,009/8,554
  6. Step 6: Final answer
    x = 15,452.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.