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Finding the Third Proportional to 2,110 and 2,446

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Solution

The third proportional to 2,110 and 2,446 is: 2,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 2,446 = 2,446 : x
  2. Step 2: Convert to fraction form
    2,110/2,446 = 2,446/x
  3. Step 3: Cross multiply
    2,110x = 2,446 × 2,446
  4. Step 4: Simplify right side
    2,110x = 5,982,916
  5. Step 5: Solve for x
    x = 5,982,916/2,110
  6. Step 6: Final answer
    x = 2,835.51

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.