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Finding the Third Proportional to 8,204.63 and 12,728.25

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Solution

The third proportional to 8,204.63 and 12,728.25 is: 19,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.63 : 12,728.25 = 12,728.25 : x
  2. Step 2: Convert to fraction form
    8,204.63/12,728.25 = 12,728.25/x
  3. Step 3: Cross multiply
    8,204.63x = 12,728.25 × 12,728.25
  4. Step 4: Simplify right side
    8,204.63x = 162,008,348.06
  5. Step 5: Solve for x
    x = 162,008,348.06/8,204.63
  6. Step 6: Final answer
    x = 19,745.98

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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.