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Finding the Third Proportional to 2,706 and 3,657

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Solution

The third proportional to 2,706 and 3,657 is: 4,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706 : 3,657 = 3,657 : x
  2. Step 2: Convert to fraction form
    2,706/3,657 = 3,657/x
  3. Step 3: Cross multiply
    2,706x = 3,657 × 3,657
  4. Step 4: Simplify right side
    2,706x = 13,373,649
  5. Step 5: Solve for x
    x = 13,373,649/2,706
  6. Step 6: Final answer
    x = 4,942.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.