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Finding the Third Proportional to 1,930.71 and 3,245.38

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Solution

The third proportional to 1,930.71 and 3,245.38 is: 5,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.71 : 3,245.38 = 3,245.38 : x
  2. Step 2: Convert to fraction form
    1,930.71/3,245.38 = 3,245.38/x
  3. Step 3: Cross multiply
    1,930.71x = 3,245.38 × 3,245.38
  4. Step 4: Simplify right side
    1,930.71x = 10,532,484.25
  5. Step 5: Solve for x
    x = 10,532,484.25/1,930.71
  6. Step 6: Final answer
    x = 5,455.24

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.