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Finding the Third Proportional to 1,701.84 and 4,105.69

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Solution

The third proportional to 1,701.84 and 4,105.69 is: 9,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 4,105.69 = 4,105.69 : x
  2. Step 2: Convert to fraction form
    1,701.84/4,105.69 = 4,105.69/x
  3. Step 3: Cross multiply
    1,701.84x = 4,105.69 × 4,105.69
  4. Step 4: Simplify right side
    1,701.84x = 16,856,669.85
  5. Step 5: Solve for x
    x = 16,856,669.85/1,701.84
  6. Step 6: Final answer
    x = 9,904.95

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.