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Finding the Third Proportional to 12,874.22 and 19,923.89

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Solution

The third proportional to 12,874.22 and 19,923.89 is: 30,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.22 : 19,923.89 = 19,923.89 : x
  2. Step 2: Convert to fraction form
    12,874.22/19,923.89 = 19,923.89/x
  3. Step 3: Cross multiply
    12,874.22x = 19,923.89 × 19,923.89
  4. Step 4: Simplify right side
    12,874.22x = 396,961,417.64
  5. Step 5: Solve for x
    x = 396,961,417.64/12,874.22
  6. Step 6: Final answer
    x = 30,833.83

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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.