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Finding the Third Proportional to 1,336.92 and 2,906.93

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Solution

The third proportional to 1,336.92 and 2,906.93 is: 6,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.92 : 2,906.93 = 2,906.93 : x
  2. Step 2: Convert to fraction form
    1,336.92/2,906.93 = 2,906.93/x
  3. Step 3: Cross multiply
    1,336.92x = 2,906.93 × 2,906.93
  4. Step 4: Simplify right side
    1,336.92x = 8,450,240.21
  5. Step 5: Solve for x
    x = 8,450,240.21/1,336.92
  6. Step 6: Final answer
    x = 6,320.67

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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.