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Finding the Third Proportional to 1,677 and 3,609

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Solution

The third proportional to 1,677 and 3,609 is: 7,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677 : 3,609 = 3,609 : x
  2. Step 2: Convert to fraction form
    1,677/3,609 = 3,609/x
  3. Step 3: Cross multiply
    1,677x = 3,609 × 3,609
  4. Step 4: Simplify right side
    1,677x = 13,024,881
  5. Step 5: Solve for x
    x = 13,024,881/1,677
  6. Step 6: Final answer
    x = 7,766.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.