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Finding the Third Proportional to 18,688.50 and 31,146.75

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Solution

The third proportional to 18,688.50 and 31,146.75 is: 51,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688.50 : 31,146.75 = 31,146.75 : x
  2. Step 2: Convert to fraction form
    18,688.50/31,146.75 = 31,146.75/x
  3. Step 3: Cross multiply
    18,688.50x = 31,146.75 × 31,146.75
  4. Step 4: Simplify right side
    18,688.50x = 970,120,035.56
  5. Step 5: Solve for x
    x = 970,120,035.56/18,688.50
  6. Step 6: Final answer
    x = 51,910.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.