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Finding the Third Proportional to 1,704.02 and 3,676.57

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Solution

The third proportional to 1,704.02 and 3,676.57 is: 7,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.02 : 3,676.57 = 3,676.57 : x
  2. Step 2: Convert to fraction form
    1,704.02/3,676.57 = 3,676.57/x
  3. Step 3: Cross multiply
    1,704.02x = 3,676.57 × 3,676.57
  4. Step 4: Simplify right side
    1,704.02x = 13,517,169.26
  5. Step 5: Solve for x
    x = 13,517,169.26/1,704.02
  6. Step 6: Final answer
    x = 7,932.50

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Why These Related Problems?

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