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Finding the Third Proportional to 2,603.06 and 4,163.34

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Solution

The third proportional to 2,603.06 and 4,163.34 is: 6,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.06 : 4,163.34 = 4,163.34 : x
  2. Step 2: Convert to fraction form
    2,603.06/4,163.34 = 4,163.34/x
  3. Step 3: Cross multiply
    2,603.06x = 4,163.34 × 4,163.34
  4. Step 4: Simplify right side
    2,603.06x = 17,333,431.18
  5. Step 5: Solve for x
    x = 17,333,431.18/2,603.06
  6. Step 6: Final answer
    x = 6,658.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.