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Finding the Third Proportional to 12,086.72 and 18,676.83

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Solution

The third proportional to 12,086.72 and 18,676.83 is: 28,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.72 : 18,676.83 = 18,676.83 : x
  2. Step 2: Convert to fraction form
    12,086.72/18,676.83 = 18,676.83/x
  3. Step 3: Cross multiply
    12,086.72x = 18,676.83 × 18,676.83
  4. Step 4: Simplify right side
    12,086.72x = 348,823,908.81
  5. Step 5: Solve for x
    x = 348,823,908.81/12,086.72
  6. Step 6: Final answer
    x = 28,860.10

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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.