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Finding the Third Proportional to 18,813.50 and 27,658

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Solution

The third proportional to 18,813.50 and 27,658 is: 40,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,813.50 : 27,658 = 27,658 : x
  2. Step 2: Convert to fraction form
    18,813.50/27,658 = 27,658/x
  3. Step 3: Cross multiply
    18,813.50x = 27,658 × 27,658
  4. Step 4: Simplify right side
    18,813.50x = 764,964,964
  5. Step 5: Solve for x
    x = 764,964,964/18,813.50
  6. Step 6: Final answer
    x = 40,660.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.