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Finding the Third Proportional to 6,485.06 and 11,853.84

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Solution

The third proportional to 6,485.06 and 11,853.84 is: 21,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.06 : 11,853.84 = 11,853.84 : x
  2. Step 2: Convert to fraction form
    6,485.06/11,853.84 = 11,853.84/x
  3. Step 3: Cross multiply
    6,485.06x = 11,853.84 × 11,853.84
  4. Step 4: Simplify right side
    6,485.06x = 140,513,611.65
  5. Step 5: Solve for x
    x = 140,513,611.65/6,485.06
  6. Step 6: Final answer
    x = 21,667.27

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.