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Finding the Third Proportional to 1,732.56 and 3,305.56

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Solution

The third proportional to 1,732.56 and 3,305.56 is: 6,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.56 : 3,305.56 = 3,305.56 : x
  2. Step 2: Convert to fraction form
    1,732.56/3,305.56 = 3,305.56/x
  3. Step 3: Cross multiply
    1,732.56x = 3,305.56 × 3,305.56
  4. Step 4: Simplify right side
    1,732.56x = 10,926,743.44
  5. Step 5: Solve for x
    x = 10,926,743.44/1,732.56
  6. Step 6: Final answer
    x = 6,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.