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Finding the Third Proportional to 1,704.94 and 3,671.06

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Solution

The third proportional to 1,704.94 and 3,671.06 is: 7,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.94 : 3,671.06 = 3,671.06 : x
  2. Step 2: Convert to fraction form
    1,704.94/3,671.06 = 3,671.06/x
  3. Step 3: Cross multiply
    1,704.94x = 3,671.06 × 3,671.06
  4. Step 4: Simplify right side
    1,704.94x = 13,476,699.88
  5. Step 5: Solve for x
    x = 13,476,699.88/1,704.94
  6. Step 6: Final answer
    x = 7,904.51

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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.