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Finding the Third Proportional to 1,974.38 and 4,324.64

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Solution

The third proportional to 1,974.38 and 4,324.64 is: 9,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.38 : 4,324.64 = 4,324.64 : x
  2. Step 2: Convert to fraction form
    1,974.38/4,324.64 = 4,324.64/x
  3. Step 3: Cross multiply
    1,974.38x = 4,324.64 × 4,324.64
  4. Step 4: Simplify right side
    1,974.38x = 18,702,516.54
  5. Step 5: Solve for x
    x = 18,702,516.54/1,974.38
  6. Step 6: Final answer
    x = 9,472.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.