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Finding the Third Proportional to 7,383.34 and 16,201.90

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Solution

The third proportional to 7,383.34 and 16,201.90 is: 35,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.34 : 16,201.90 = 16,201.90 : x
  2. Step 2: Convert to fraction form
    7,383.34/16,201.90 = 16,201.90/x
  3. Step 3: Cross multiply
    7,383.34x = 16,201.90 × 16,201.90
  4. Step 4: Simplify right side
    7,383.34x = 262,501,512.98
  5. Step 5: Solve for x
    x = 262,501,512.98/7,383.34
  6. Step 6: Final answer
    x = 35,553.22

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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.