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Finding the Third Proportional to 2,003.48 and 4,383.84

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Solution

The third proportional to 2,003.48 and 4,383.84 is: 9,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.48 : 4,383.84 = 4,383.84 : x
  2. Step 2: Convert to fraction form
    2,003.48/4,383.84 = 4,383.84/x
  3. Step 3: Cross multiply
    2,003.48x = 4,383.84 × 4,383.84
  4. Step 4: Simplify right side
    2,003.48x = 19,218,086.02
  5. Step 5: Solve for x
    x = 19,218,086.02/2,003.48
  6. Step 6: Final answer
    x = 9,592.33

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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.