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Finding the Third Proportional to 11,793.50 and 27,800.75

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Solution

The third proportional to 11,793.50 and 27,800.75 is: 65,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.50 : 27,800.75 = 27,800.75 : x
  2. Step 2: Convert to fraction form
    11,793.50/27,800.75 = 27,800.75/x
  3. Step 3: Cross multiply
    11,793.50x = 27,800.75 × 27,800.75
  4. Step 4: Simplify right side
    11,793.50x = 772,881,700.56
  5. Step 5: Solve for x
    x = 772,881,700.56/11,793.50
  6. Step 6: Final answer
    x = 65,534.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.