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Finding the Third Proportional to 1,732.85 and 3,801.09

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Solution

The third proportional to 1,732.85 and 3,801.09 is: 8,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.85 : 3,801.09 = 3,801.09 : x
  2. Step 2: Convert to fraction form
    1,732.85/3,801.09 = 3,801.09/x
  3. Step 3: Cross multiply
    1,732.85x = 3,801.09 × 3,801.09
  4. Step 4: Simplify right side
    1,732.85x = 14,448,313.70
  5. Step 5: Solve for x
    x = 14,448,313.70/1,732.85
  6. Step 6: Final answer
    x = 8,337.88

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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.