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Finding the Third Proportional to 5,137 and 6,491

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Solution

The third proportional to 5,137 and 6,491 is: 8,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137 : 6,491 = 6,491 : x
  2. Step 2: Convert to fraction form
    5,137/6,491 = 6,491/x
  3. Step 3: Cross multiply
    5,137x = 6,491 × 6,491
  4. Step 4: Simplify right side
    5,137x = 42,133,081
  5. Step 5: Solve for x
    x = 42,133,081/5,137
  6. Step 6: Final answer
    x = 8,201.88

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.