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Finding the Third Proportional to 1,674.06 and 3,196.19

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Solution

The third proportional to 1,674.06 and 3,196.19 is: 6,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.06 : 3,196.19 = 3,196.19 : x
  2. Step 2: Convert to fraction form
    1,674.06/3,196.19 = 3,196.19/x
  3. Step 3: Cross multiply
    1,674.06x = 3,196.19 × 3,196.19
  4. Step 4: Simplify right side
    1,674.06x = 10,215,614.54
  5. Step 5: Solve for x
    x = 10,215,614.54/1,674.06
  6. Step 6: Final answer
    x = 6,102.29

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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.