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Finding the Third Proportional to 2,313.94 and 3,471.38

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Solution

The third proportional to 2,313.94 and 3,471.38 is: 5,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.94 : 3,471.38 = 3,471.38 : x
  2. Step 2: Convert to fraction form
    2,313.94/3,471.38 = 3,471.38/x
  3. Step 3: Cross multiply
    2,313.94x = 3,471.38 × 3,471.38
  4. Step 4: Simplify right side
    2,313.94x = 12,050,444.39
  5. Step 5: Solve for x
    x = 12,050,444.39/2,313.94
  6. Step 6: Final answer
    x = 5,207.77

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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.