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Finding the Third Proportional to 3,603.38 and 4,604.34

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Solution

The third proportional to 3,603.38 and 4,604.34 is: 5,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.38 : 4,604.34 = 4,604.34 : x
  2. Step 2: Convert to fraction form
    3,603.38/4,604.34 = 4,604.34/x
  3. Step 3: Cross multiply
    3,603.38x = 4,604.34 × 4,604.34
  4. Step 4: Simplify right side
    3,603.38x = 21,199,981.37
  5. Step 5: Solve for x
    x = 21,199,981.37/3,603.38
  6. Step 6: Final answer
    x = 5,883.37

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.