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Finding the Third Proportional to 2,586 and 3,693

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Solution

The third proportional to 2,586 and 3,693 is: 5,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,693 = 3,693 : x
  2. Step 2: Convert to fraction form
    2,586/3,693 = 3,693/x
  3. Step 3: Cross multiply
    2,586x = 3,693 × 3,693
  4. Step 4: Simplify right side
    2,586x = 13,638,249
  5. Step 5: Solve for x
    x = 13,638,249/2,586
  6. Step 6: Final answer
    x = 5,273.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.