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Finding the Third Proportional to 1,631 and 3,586

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Solution

The third proportional to 1,631 and 3,586 is: 7,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631 : 3,586 = 3,586 : x
  2. Step 2: Convert to fraction form
    1,631/3,586 = 3,586/x
  3. Step 3: Cross multiply
    1,631x = 3,586 × 3,586
  4. Step 4: Simplify right side
    1,631x = 12,859,396
  5. Step 5: Solve for x
    x = 12,859,396/1,631
  6. Step 6: Final answer
    x = 7,884.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.