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Finding the Third Proportional to 2,122 and 2,302

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Solution

The third proportional to 2,122 and 2,302 is: 2,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122 : 2,302 = 2,302 : x
  2. Step 2: Convert to fraction form
    2,122/2,302 = 2,302/x
  3. Step 3: Cross multiply
    2,122x = 2,302 × 2,302
  4. Step 4: Simplify right side
    2,122x = 5,299,204
  5. Step 5: Solve for x
    x = 5,299,204/2,122
  6. Step 6: Final answer
    x = 2,497.27

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.