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Finding the Third Proportional to 6,274 and 7,963

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Solution

The third proportional to 6,274 and 7,963 is: 10,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 7,963 = 7,963 : x
  2. Step 2: Convert to fraction form
    6,274/7,963 = 7,963/x
  3. Step 3: Cross multiply
    6,274x = 7,963 × 7,963
  4. Step 4: Simplify right side
    6,274x = 63,409,369
  5. Step 5: Solve for x
    x = 63,409,369/6,274
  6. Step 6: Final answer
    x = 10,106.69

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.