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Finding the Third Proportional to 1,633.92 and 3,529.83

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Solution

The third proportional to 1,633.92 and 3,529.83 is: 7,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.92 : 3,529.83 = 3,529.83 : x
  2. Step 2: Convert to fraction form
    1,633.92/3,529.83 = 3,529.83/x
  3. Step 3: Cross multiply
    1,633.92x = 3,529.83 × 3,529.83
  4. Step 4: Simplify right side
    1,633.92x = 12,459,686.59
  5. Step 5: Solve for x
    x = 12,459,686.59/1,633.92
  6. Step 6: Final answer
    x = 7,625.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.