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Finding the Third Proportional to 1,709.44 and 3,754.69

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Solution

The third proportional to 1,709.44 and 3,754.69 is: 8,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.44 : 3,754.69 = 3,754.69 : x
  2. Step 2: Convert to fraction form
    1,709.44/3,754.69 = 3,754.69/x
  3. Step 3: Cross multiply
    1,709.44x = 3,754.69 × 3,754.69
  4. Step 4: Simplify right side
    1,709.44x = 14,097,678.22
  5. Step 5: Solve for x
    x = 14,097,678.22/1,709.44
  6. Step 6: Final answer
    x = 8,246.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.