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Finding the Third Proportional to 8,222.25 and 12,837.38

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Solution

The third proportional to 8,222.25 and 12,837.38 is: 20,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.25 : 12,837.38 = 12,837.38 : x
  2. Step 2: Convert to fraction form
    8,222.25/12,837.38 = 12,837.38/x
  3. Step 3: Cross multiply
    8,222.25x = 12,837.38 × 12,837.38
  4. Step 4: Simplify right side
    8,222.25x = 164,798,196.89
  5. Step 5: Solve for x
    x = 164,798,196.89/8,222.25
  6. Step 6: Final answer
    x = 20,042.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.