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Finding the Third Proportional to 8,506.97 and 12,768.75

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Solution

The third proportional to 8,506.97 and 12,768.75 is: 19,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.97 : 12,768.75 = 12,768.75 : x
  2. Step 2: Convert to fraction form
    8,506.97/12,768.75 = 12,768.75/x
  3. Step 3: Cross multiply
    8,506.97x = 12,768.75 × 12,768.75
  4. Step 4: Simplify right side
    8,506.97x = 163,040,976.56
  5. Step 5: Solve for x
    x = 163,040,976.56/8,506.97
  6. Step 6: Final answer
    x = 19,165.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.