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Finding the Third Proportional to 2,473.03 and 5,221.97

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Solution

The third proportional to 2,473.03 and 5,221.97 is: 11,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.03 : 5,221.97 = 5,221.97 : x
  2. Step 2: Convert to fraction form
    2,473.03/5,221.97 = 5,221.97/x
  3. Step 3: Cross multiply
    2,473.03x = 5,221.97 × 5,221.97
  4. Step 4: Simplify right side
    2,473.03x = 27,268,957.63
  5. Step 5: Solve for x
    x = 27,268,957.63/2,473.03
  6. Step 6: Final answer
    x = 11,026.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.