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Finding the Third Proportional to 5,298.06 and 11,033.24

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Solution

The third proportional to 5,298.06 and 11,033.24 is: 22,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.06 : 11,033.24 = 11,033.24 : x
  2. Step 2: Convert to fraction form
    5,298.06/11,033.24 = 11,033.24/x
  3. Step 3: Cross multiply
    5,298.06x = 11,033.24 × 11,033.24
  4. Step 4: Simplify right side
    5,298.06x = 121,732,476.27
  5. Step 5: Solve for x
    x = 121,732,476.27/5,298.06
  6. Step 6: Final answer
    x = 22,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.