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Finding the Third Proportional to 3,602.29 and 7,383.97

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Solution

The third proportional to 3,602.29 and 7,383.97 is: 15,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.29 : 7,383.97 = 7,383.97 : x
  2. Step 2: Convert to fraction form
    3,602.29/7,383.97 = 7,383.97/x
  3. Step 3: Cross multiply
    3,602.29x = 7,383.97 × 7,383.97
  4. Step 4: Simplify right side
    3,602.29x = 54,523,052.19
  5. Step 5: Solve for x
    x = 54,523,052.19/3,602.29
  6. Step 6: Final answer
    x = 15,135.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.