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Finding the Third Proportional to 9,795.38 and 14,273.81

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Solution

The third proportional to 9,795.38 and 14,273.81 is: 20,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.38 : 14,273.81 = 14,273.81 : x
  2. Step 2: Convert to fraction form
    9,795.38/14,273.81 = 14,273.81/x
  3. Step 3: Cross multiply
    9,795.38x = 14,273.81 × 14,273.81
  4. Step 4: Simplify right side
    9,795.38x = 203,741,723.29
  5. Step 5: Solve for x
    x = 203,741,723.29/9,795.38
  6. Step 6: Final answer
    x = 20,799.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.