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Finding the Third Proportional to 8,233.50 and 12,736.75

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Solution

The third proportional to 8,233.50 and 12,736.75 is: 19,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.50 : 12,736.75 = 12,736.75 : x
  2. Step 2: Convert to fraction form
    8,233.50/12,736.75 = 12,736.75/x
  3. Step 3: Cross multiply
    8,233.50x = 12,736.75 × 12,736.75
  4. Step 4: Simplify right side
    8,233.50x = 162,224,800.56
  5. Step 5: Solve for x
    x = 162,224,800.56/8,233.50
  6. Step 6: Final answer
    x = 19,703.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.