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Finding the Third Proportional to 1,637 and 3,998

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Solution

The third proportional to 1,637 and 3,998 is: 9,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637 : 3,998 = 3,998 : x
  2. Step 2: Convert to fraction form
    1,637/3,998 = 3,998/x
  3. Step 3: Cross multiply
    1,637x = 3,998 × 3,998
  4. Step 4: Simplify right side
    1,637x = 15,984,004
  5. Step 5: Solve for x
    x = 15,984,004/1,637
  6. Step 6: Final answer
    x = 9,764.21

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.