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Finding the Third Proportional to 6,452 and 9,966

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Solution

The third proportional to 6,452 and 9,966 is: 15,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 9,966 = 9,966 : x
  2. Step 2: Convert to fraction form
    6,452/9,966 = 9,966/x
  3. Step 3: Cross multiply
    6,452x = 9,966 × 9,966
  4. Step 4: Simplify right side
    6,452x = 99,321,156
  5. Step 5: Solve for x
    x = 99,321,156/6,452
  6. Step 6: Final answer
    x = 15,393.86

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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.