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Finding the Third Proportional to 1,305.70 and 1,958.87

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Solution

The third proportional to 1,305.70 and 1,958.87 is: 2,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.70 : 1,958.87 = 1,958.87 : x
  2. Step 2: Convert to fraction form
    1,305.70/1,958.87 = 1,958.87/x
  3. Step 3: Cross multiply
    1,305.70x = 1,958.87 × 1,958.87
  4. Step 4: Simplify right side
    1,305.70x = 3,837,175.96
  5. Step 5: Solve for x
    x = 3,837,175.96/1,305.70
  6. Step 6: Final answer
    x = 2,938.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.