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Finding the Third Proportional to 12,811.78 and 28,146.09

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Solution

The third proportional to 12,811.78 and 28,146.09 is: 61,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.78 : 28,146.09 = 28,146.09 : x
  2. Step 2: Convert to fraction form
    12,811.78/28,146.09 = 28,146.09/x
  3. Step 3: Cross multiply
    12,811.78x = 28,146.09 × 28,146.09
  4. Step 4: Simplify right side
    12,811.78x = 792,202,593.38
  5. Step 5: Solve for x
    x = 792,202,593.38/12,811.78
  6. Step 6: Final answer
    x = 61,833.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.