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Finding the Third Proportional to 829 and 1,687

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Solution

The third proportional to 829 and 1,687 is: 3,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,687 = 1,687 : x
  2. Step 2: Convert to fraction form
    829/1,687 = 1,687/x
  3. Step 3: Cross multiply
    829x = 1,687 × 1,687
  4. Step 4: Simplify right side
    829x = 2,845,969
  5. Step 5: Solve for x
    x = 2,845,969/829
  6. Step 6: Final answer
    x = 3,433.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.