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Finding the Third Proportional to 8,216.44 and 12,708.56

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Solution

The third proportional to 8,216.44 and 12,708.56 is: 19,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 12,708.56 = 12,708.56 : x
  2. Step 2: Convert to fraction form
    8,216.44/12,708.56 = 12,708.56/x
  3. Step 3: Cross multiply
    8,216.44x = 12,708.56 × 12,708.56
  4. Step 4: Simplify right side
    8,216.44x = 161,507,560.82
  5. Step 5: Solve for x
    x = 161,507,560.82/8,216.44
  6. Step 6: Final answer
    x = 19,656.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.