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Finding the Third Proportional to 6,754 and 10,374

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Solution

The third proportional to 6,754 and 10,374 is: 15,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754 : 10,374 = 10,374 : x
  2. Step 2: Convert to fraction form
    6,754/10,374 = 10,374/x
  3. Step 3: Cross multiply
    6,754x = 10,374 × 10,374
  4. Step 4: Simplify right side
    6,754x = 107,619,876
  5. Step 5: Solve for x
    x = 107,619,876/6,754
  6. Step 6: Final answer
    x = 15,934.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.