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Finding the Third Proportional to 1,729.03 and 3,704.60

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Solution

The third proportional to 1,729.03 and 3,704.60 is: 7,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.03 : 3,704.60 = 3,704.60 : x
  2. Step 2: Convert to fraction form
    1,729.03/3,704.60 = 3,704.60/x
  3. Step 3: Cross multiply
    1,729.03x = 3,704.60 × 3,704.60
  4. Step 4: Simplify right side
    1,729.03x = 13,724,072.74
  5. Step 5: Solve for x
    x = 13,724,072.74/1,729.03
  6. Step 6: Final answer
    x = 7,937.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.