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Finding the Third Proportional to 1,683.56 and 3,932.44

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Solution

The third proportional to 1,683.56 and 3,932.44 is: 9,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.56 : 3,932.44 = 3,932.44 : x
  2. Step 2: Convert to fraction form
    1,683.56/3,932.44 = 3,932.44/x
  3. Step 3: Cross multiply
    1,683.56x = 3,932.44 × 3,932.44
  4. Step 4: Simplify right side
    1,683.56x = 15,464,064.69
  5. Step 5: Solve for x
    x = 15,464,064.69/1,683.56
  6. Step 6: Final answer
    x = 9,185.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.