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Finding the Third Proportional to 8,216.44 and 10,195.88

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Solution

The third proportional to 8,216.44 and 10,195.88 is: 12,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 10,195.88 = 10,195.88 : x
  2. Step 2: Convert to fraction form
    8,216.44/10,195.88 = 10,195.88/x
  3. Step 3: Cross multiply
    8,216.44x = 10,195.88 × 10,195.88
  4. Step 4: Simplify right side
    8,216.44x = 103,955,867.02
  5. Step 5: Solve for x
    x = 103,955,867.02/8,216.44
  6. Step 6: Final answer
    x = 12,652.18

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.