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Finding the Third Proportional to 8,222.63 and 12,755.25

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Solution

The third proportional to 8,222.63 and 12,755.25 is: 19,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.63 : 12,755.25 = 12,755.25 : x
  2. Step 2: Convert to fraction form
    8,222.63/12,755.25 = 12,755.25/x
  3. Step 3: Cross multiply
    8,222.63x = 12,755.25 × 12,755.25
  4. Step 4: Simplify right side
    8,222.63x = 162,696,402.56
  5. Step 5: Solve for x
    x = 162,696,402.56/8,222.63
  6. Step 6: Final answer
    x = 19,786.43

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