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Finding the Third Proportional to 2,111 and 2,431

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Solution

The third proportional to 2,111 and 2,431 is: 2,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111 : 2,431 = 2,431 : x
  2. Step 2: Convert to fraction form
    2,111/2,431 = 2,431/x
  3. Step 3: Cross multiply
    2,111x = 2,431 × 2,431
  4. Step 4: Simplify right side
    2,111x = 5,909,761
  5. Step 5: Solve for x
    x = 5,909,761/2,111
  6. Step 6: Final answer
    x = 2,799.51

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.