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Finding the Third Proportional to 2,026.69 and 4,297.43

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Solution

The third proportional to 2,026.69 and 4,297.43 is: 9,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.69 : 4,297.43 = 4,297.43 : x
  2. Step 2: Convert to fraction form
    2,026.69/4,297.43 = 4,297.43/x
  3. Step 3: Cross multiply
    2,026.69x = 4,297.43 × 4,297.43
  4. Step 4: Simplify right side
    2,026.69x = 18,467,901.92
  5. Step 5: Solve for x
    x = 18,467,901.92/2,026.69
  6. Step 6: Final answer
    x = 9,112.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.