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Finding the Third Proportional to 6,735.94 and 13,811.06

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Solution

The third proportional to 6,735.94 and 13,811.06 is: 28,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.94 : 13,811.06 = 13,811.06 : x
  2. Step 2: Convert to fraction form
    6,735.94/13,811.06 = 13,811.06/x
  3. Step 3: Cross multiply
    6,735.94x = 13,811.06 × 13,811.06
  4. Step 4: Simplify right side
    6,735.94x = 190,745,447.38
  5. Step 5: Solve for x
    x = 190,745,447.38/6,735.94
  6. Step 6: Final answer
    x = 28,317.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.