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Finding the Third Proportional to 2,986 and 6,491

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Solution

The third proportional to 2,986 and 6,491 is: 14,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986 : 6,491 = 6,491 : x
  2. Step 2: Convert to fraction form
    2,986/6,491 = 6,491/x
  3. Step 3: Cross multiply
    2,986x = 6,491 × 6,491
  4. Step 4: Simplify right side
    2,986x = 42,133,081
  5. Step 5: Solve for x
    x = 42,133,081/2,986
  6. Step 6: Final answer
    x = 14,110.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.