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Finding the Third Proportional to 6,524 and 8,966

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Solution

The third proportional to 6,524 and 8,966 is: 12,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524 : 8,966 = 8,966 : x
  2. Step 2: Convert to fraction form
    6,524/8,966 = 8,966/x
  3. Step 3: Cross multiply
    6,524x = 8,966 × 8,966
  4. Step 4: Simplify right side
    6,524x = 80,389,156
  5. Step 5: Solve for x
    x = 80,389,156/6,524
  6. Step 6: Final answer
    x = 12,322.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.