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Finding the Third Proportional to 12,073.50 and 18,777.38

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Solution

The third proportional to 12,073.50 and 18,777.38 is: 29,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.50 : 18,777.38 = 18,777.38 : x
  2. Step 2: Convert to fraction form
    12,073.50/18,777.38 = 18,777.38/x
  3. Step 3: Cross multiply
    12,073.50x = 18,777.38 × 18,777.38
  4. Step 4: Simplify right side
    12,073.50x = 352,589,811.89
  5. Step 5: Solve for x
    x = 352,589,811.89/12,073.50
  6. Step 6: Final answer
    x = 29,203.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.