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Finding the Third Proportional to 6,394.57 and 13,844.67

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Solution

The third proportional to 6,394.57 and 13,844.67 is: 29,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.57 : 13,844.67 = 13,844.67 : x
  2. Step 2: Convert to fraction form
    6,394.57/13,844.67 = 13,844.67/x
  3. Step 3: Cross multiply
    6,394.57x = 13,844.67 × 13,844.67
  4. Step 4: Simplify right side
    6,394.57x = 191,674,939.33
  5. Step 5: Solve for x
    x = 191,674,939.33/6,394.57
  6. Step 6: Final answer
    x = 29,974.64

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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.