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Finding the Third Proportional to 6,768.56 and 14,078.81

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Solution

The third proportional to 6,768.56 and 14,078.81 is: 29,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.56 : 14,078.81 = 14,078.81 : x
  2. Step 2: Convert to fraction form
    6,768.56/14,078.81 = 14,078.81/x
  3. Step 3: Cross multiply
    6,768.56x = 14,078.81 × 14,078.81
  4. Step 4: Simplify right side
    6,768.56x = 198,212,961.41
  5. Step 5: Solve for x
    x = 198,212,961.41/6,768.56
  6. Step 6: Final answer
    x = 29,284.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.