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Finding the Third Proportional to 2,122 and 2,965

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Solution

The third proportional to 2,122 and 2,965 is: 4,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122 : 2,965 = 2,965 : x
  2. Step 2: Convert to fraction form
    2,122/2,965 = 2,965/x
  3. Step 3: Cross multiply
    2,122x = 2,965 × 2,965
  4. Step 4: Simplify right side
    2,122x = 8,791,225
  5. Step 5: Solve for x
    x = 8,791,225/2,122
  6. Step 6: Final answer
    x = 4,142.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.