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Finding the Third Proportional to 1,941.50 and 4,471.75

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Solution

The third proportional to 1,941.50 and 4,471.75 is: 10,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.50 : 4,471.75 = 4,471.75 : x
  2. Step 2: Convert to fraction form
    1,941.50/4,471.75 = 4,471.75/x
  3. Step 3: Cross multiply
    1,941.50x = 4,471.75 × 4,471.75
  4. Step 4: Simplify right side
    1,941.50x = 19,996,548.06
  5. Step 5: Solve for x
    x = 19,996,548.06/1,941.50
  6. Step 6: Final answer
    x = 10,299.54

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.