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Finding the Third Proportional to 30,693.94 and 46,082.67

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Solution

The third proportional to 30,693.94 and 46,082.67 is: 69,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.94 : 46,082.67 = 46,082.67 : x
  2. Step 2: Convert to fraction form
    30,693.94/46,082.67 = 46,082.67/x
  3. Step 3: Cross multiply
    30,693.94x = 46,082.67 × 46,082.67
  4. Step 4: Simplify right side
    30,693.94x = 2,123,612,647.14
  5. Step 5: Solve for x
    x = 2,123,612,647.14/30,693.94
  6. Step 6: Final answer
    x = 69,186.71

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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.