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Finding the Third Proportional to 13,674.75 and 28,297.31

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Solution

The third proportional to 13,674.75 and 28,297.31 is: 58,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.75 : 28,297.31 = 28,297.31 : x
  2. Step 2: Convert to fraction form
    13,674.75/28,297.31 = 28,297.31/x
  3. Step 3: Cross multiply
    13,674.75x = 28,297.31 × 28,297.31
  4. Step 4: Simplify right side
    13,674.75x = 800,737,894.72
  5. Step 5: Solve for x
    x = 800,737,894.72/13,674.75
  6. Step 6: Final answer
    x = 58,555.94

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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.