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Finding the Third Proportional to 5,354 and 11,678

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Solution

The third proportional to 5,354 and 11,678 is: 25,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354 : 11,678 = 11,678 : x
  2. Step 2: Convert to fraction form
    5,354/11,678 = 11,678/x
  3. Step 3: Cross multiply
    5,354x = 11,678 × 11,678
  4. Step 4: Simplify right side
    5,354x = 136,375,684
  5. Step 5: Solve for x
    x = 136,375,684/5,354
  6. Step 6: Final answer
    x = 25,471.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.