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Finding the Third Proportional to 2,669 and 6,051

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Solution

The third proportional to 2,669 and 6,051 is: 13,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 6,051 = 6,051 : x
  2. Step 2: Convert to fraction form
    2,669/6,051 = 6,051/x
  3. Step 3: Cross multiply
    2,669x = 6,051 × 6,051
  4. Step 4: Simplify right side
    2,669x = 36,614,601
  5. Step 5: Solve for x
    x = 36,614,601/2,669
  6. Step 6: Final answer
    x = 13,718.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.