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Finding the Third Proportional to 40,390 and 67,082

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Solution

The third proportional to 40,390 and 67,082 is: 111,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,390 : 67,082 = 67,082 : x
  2. Step 2: Convert to fraction form
    40,390/67,082 = 67,082/x
  3. Step 3: Cross multiply
    40,390x = 67,082 × 67,082
  4. Step 4: Simplify right side
    40,390x = 4,499,994,724
  5. Step 5: Solve for x
    x = 4,499,994,724/40,390
  6. Step 6: Final answer
    x = 111,413.59

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.