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Finding the Third Proportional to 6,474 and 8,521

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Solution

The third proportional to 6,474 and 8,521 is: 11,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 8,521 = 8,521 : x
  2. Step 2: Convert to fraction form
    6,474/8,521 = 8,521/x
  3. Step 3: Cross multiply
    6,474x = 8,521 × 8,521
  4. Step 4: Simplify right side
    6,474x = 72,607,441
  5. Step 5: Solve for x
    x = 72,607,441/6,474
  6. Step 6: Final answer
    x = 11,215.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.