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Finding the Third Proportional to 2,769 and 5,286

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Solution

The third proportional to 2,769 and 5,286 is: 10,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769 : 5,286 = 5,286 : x
  2. Step 2: Convert to fraction form
    2,769/5,286 = 5,286/x
  3. Step 3: Cross multiply
    2,769x = 5,286 × 5,286
  4. Step 4: Simplify right side
    2,769x = 27,941,796
  5. Step 5: Solve for x
    x = 27,941,796/2,769
  6. Step 6: Final answer
    x = 10,090.93

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.