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Finding the Third Proportional to 12,384.56 and 18,813.94

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Solution

The third proportional to 12,384.56 and 18,813.94 is: 28,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.56 : 18,813.94 = 18,813.94 : x
  2. Step 2: Convert to fraction form
    12,384.56/18,813.94 = 18,813.94/x
  3. Step 3: Cross multiply
    12,384.56x = 18,813.94 × 18,813.94
  4. Step 4: Simplify right side
    12,384.56x = 353,964,244.25
  5. Step 5: Solve for x
    x = 353,964,244.25/12,384.56
  6. Step 6: Final answer
    x = 28,581.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.