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Finding the Third Proportional to 6,541 and 14,378

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Solution

The third proportional to 6,541 and 14,378 is: 31,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541 : 14,378 = 14,378 : x
  2. Step 2: Convert to fraction form
    6,541/14,378 = 14,378/x
  3. Step 3: Cross multiply
    6,541x = 14,378 × 14,378
  4. Step 4: Simplify right side
    6,541x = 206,726,884
  5. Step 5: Solve for x
    x = 206,726,884/6,541
  6. Step 6: Final answer
    x = 31,604.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.