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Finding the Third Proportional to 13,674.94 and 28,297.69

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Solution

The third proportional to 13,674.94 and 28,297.69 is: 58,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.94 : 28,297.69 = 28,297.69 : x
  2. Step 2: Convert to fraction form
    13,674.94/28,297.69 = 28,297.69/x
  3. Step 3: Cross multiply
    13,674.94x = 28,297.69 × 28,297.69
  4. Step 4: Simplify right side
    13,674.94x = 800,759,117.85
  5. Step 5: Solve for x
    x = 800,759,117.85/13,674.94
  6. Step 6: Final answer
    x = 58,556.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.