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Finding the Third Proportional to 1,704.81 and 3,734.94

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Solution

The third proportional to 1,704.81 and 3,734.94 is: 8,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.81 : 3,734.94 = 3,734.94 : x
  2. Step 2: Convert to fraction form
    1,704.81/3,734.94 = 3,734.94/x
  3. Step 3: Cross multiply
    1,704.81x = 3,734.94 × 3,734.94
  4. Step 4: Simplify right side
    1,704.81x = 13,949,758.13
  5. Step 5: Solve for x
    x = 13,949,758.13/1,704.81
  6. Step 6: Final answer
    x = 8,182.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.