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Finding the Third Proportional to 3,165 and 6,656

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Solution

The third proportional to 3,165 and 6,656 is: 13,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165 : 6,656 = 6,656 : x
  2. Step 2: Convert to fraction form
    3,165/6,656 = 6,656/x
  3. Step 3: Cross multiply
    3,165x = 6,656 × 6,656
  4. Step 4: Simplify right side
    3,165x = 44,302,336
  5. Step 5: Solve for x
    x = 44,302,336/3,165
  6. Step 6: Final answer
    x = 13,997.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.