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Finding the Third Proportional to 2,662 and 6,169

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Solution

The third proportional to 2,662 and 6,169 is: 14,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662 : 6,169 = 6,169 : x
  2. Step 2: Convert to fraction form
    2,662/6,169 = 6,169/x
  3. Step 3: Cross multiply
    2,662x = 6,169 × 6,169
  4. Step 4: Simplify right side
    2,662x = 38,056,561
  5. Step 5: Solve for x
    x = 38,056,561/2,662
  6. Step 6: Final answer
    x = 14,296.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.