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Finding the Third Proportional to 1,266 and 2,693

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Solution

The third proportional to 1,266 and 2,693 is: 5,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266 : 2,693 = 2,693 : x
  2. Step 2: Convert to fraction form
    1,266/2,693 = 2,693/x
  3. Step 3: Cross multiply
    1,266x = 2,693 × 2,693
  4. Step 4: Simplify right side
    1,266x = 7,252,249
  5. Step 5: Solve for x
    x = 7,252,249/1,266
  6. Step 6: Final answer
    x = 5,728.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.