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Finding the Third Proportional to 1,603.83 and 3,447.28

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Solution

The third proportional to 1,603.83 and 3,447.28 is: 7,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.83 : 3,447.28 = 3,447.28 : x
  2. Step 2: Convert to fraction form
    1,603.83/3,447.28 = 3,447.28/x
  3. Step 3: Cross multiply
    1,603.83x = 3,447.28 × 3,447.28
  4. Step 4: Simplify right side
    1,603.83x = 11,883,748.02
  5. Step 5: Solve for x
    x = 11,883,748.02/1,603.83
  6. Step 6: Final answer
    x = 7,409.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.