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Finding the Third Proportional to 2,206 and 2,998

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Solution

The third proportional to 2,206 and 2,998 is: 4,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 2,998 = 2,998 : x
  2. Step 2: Convert to fraction form
    2,206/2,998 = 2,998/x
  3. Step 3: Cross multiply
    2,206x = 2,998 × 2,998
  4. Step 4: Simplify right side
    2,206x = 8,988,004
  5. Step 5: Solve for x
    x = 8,988,004/2,206
  6. Step 6: Final answer
    x = 4,074.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.