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Finding the Third Proportional to 35,311 and 49,390

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Solution

The third proportional to 35,311 and 49,390 is: 69,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311 : 49,390 = 49,390 : x
  2. Step 2: Convert to fraction form
    35,311/49,390 = 49,390/x
  3. Step 3: Cross multiply
    35,311x = 49,390 × 49,390
  4. Step 4: Simplify right side
    35,311x = 2,439,372,100
  5. Step 5: Solve for x
    x = 2,439,372,100/35,311
  6. Step 6: Final answer
    x = 69,082.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.