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Finding the Third Proportional to 5,357 and 8,051

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Solution

The third proportional to 5,357 and 8,051 is: 12,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357 : 8,051 = 8,051 : x
  2. Step 2: Convert to fraction form
    5,357/8,051 = 8,051/x
  3. Step 3: Cross multiply
    5,357x = 8,051 × 8,051
  4. Step 4: Simplify right side
    5,357x = 64,818,601
  5. Step 5: Solve for x
    x = 64,818,601/5,357
  6. Step 6: Final answer
    x = 12,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.