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Finding the Third Proportional to 1,637 and 3,367

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Solution

The third proportional to 1,637 and 3,367 is: 6,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637 : 3,367 = 3,367 : x
  2. Step 2: Convert to fraction form
    1,637/3,367 = 3,367/x
  3. Step 3: Cross multiply
    1,637x = 3,367 × 3,367
  4. Step 4: Simplify right side
    1,637x = 11,336,689
  5. Step 5: Solve for x
    x = 11,336,689/1,637
  6. Step 6: Final answer
    x = 6,925.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.