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Finding the Third Proportional to 2,110 and 2,681

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Solution

The third proportional to 2,110 and 2,681 is: 3,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 2,681 = 2,681 : x
  2. Step 2: Convert to fraction form
    2,110/2,681 = 2,681/x
  3. Step 3: Cross multiply
    2,110x = 2,681 × 2,681
  4. Step 4: Simplify right side
    2,110x = 7,187,761
  5. Step 5: Solve for x
    x = 7,187,761/2,110
  6. Step 6: Final answer
    x = 3,406.52

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.