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Finding the Third Proportional to 12,863.81 and 27,777.94

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Solution

The third proportional to 12,863.81 and 27,777.94 is: 59,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.81 : 27,777.94 = 27,777.94 : x
  2. Step 2: Convert to fraction form
    12,863.81/27,777.94 = 27,777.94/x
  3. Step 3: Cross multiply
    12,863.81x = 27,777.94 × 27,777.94
  4. Step 4: Simplify right side
    12,863.81x = 771,613,811.75
  5. Step 5: Solve for x
    x = 771,613,811.75/12,863.81
  6. Step 6: Final answer
    x = 59,983.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.