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Finding the Third Proportional to 11,989.50 and 18,150.50

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Solution

The third proportional to 11,989.50 and 18,150.50 is: 27,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.50 : 18,150.50 = 18,150.50 : x
  2. Step 2: Convert to fraction form
    11,989.50/18,150.50 = 18,150.50/x
  3. Step 3: Cross multiply
    11,989.50x = 18,150.50 × 18,150.50
  4. Step 4: Simplify right side
    11,989.50x = 329,440,650.25
  5. Step 5: Solve for x
    x = 329,440,650.25/11,989.50
  6. Step 6: Final answer
    x = 27,477.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.