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Finding the Third Proportional to 2,609 and 5,629

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Solution

The third proportional to 2,609 and 5,629 is: 12,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609 : 5,629 = 5,629 : x
  2. Step 2: Convert to fraction form
    2,609/5,629 = 5,629/x
  3. Step 3: Cross multiply
    2,609x = 5,629 × 5,629
  4. Step 4: Simplify right side
    2,609x = 31,685,641
  5. Step 5: Solve for x
    x = 31,685,641/2,609
  6. Step 6: Final answer
    x = 12,144.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.