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Finding the Third Proportional to 4,111.17 and 9,003.23

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Solution

The third proportional to 4,111.17 and 9,003.23 is: 19,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.17 : 9,003.23 = 9,003.23 : x
  2. Step 2: Convert to fraction form
    4,111.17/9,003.23 = 9,003.23/x
  3. Step 3: Cross multiply
    4,111.17x = 9,003.23 × 9,003.23
  4. Step 4: Simplify right side
    4,111.17x = 81,058,229.21
  5. Step 5: Solve for x
    x = 81,058,229.21/4,111.17
  6. Step 6: Final answer
    x = 19,716.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.