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Finding the Third Proportional to 4,912 and 6,374

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Solution

The third proportional to 4,912 and 6,374 is: 8,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912 : 6,374 = 6,374 : x
  2. Step 2: Convert to fraction form
    4,912/6,374 = 6,374/x
  3. Step 3: Cross multiply
    4,912x = 6,374 × 6,374
  4. Step 4: Simplify right side
    4,912x = 40,627,876
  5. Step 5: Solve for x
    x = 40,627,876/4,912
  6. Step 6: Final answer
    x = 8,271.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.