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Finding the Third Proportional to 1,373.27 and 2,974.36

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Solution

The third proportional to 1,373.27 and 2,974.36 is: 6,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.27 : 2,974.36 = 2,974.36 : x
  2. Step 2: Convert to fraction form
    1,373.27/2,974.36 = 2,974.36/x
  3. Step 3: Cross multiply
    1,373.27x = 2,974.36 × 2,974.36
  4. Step 4: Simplify right side
    1,373.27x = 8,846,813.69
  5. Step 5: Solve for x
    x = 8,846,813.69/1,373.27
  6. Step 6: Final answer
    x = 6,442.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.