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Finding the Third Proportional to 34,082.44 and 72,903.38

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Solution

The third proportional to 34,082.44 and 72,903.38 is: 155,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082.44 : 72,903.38 = 72,903.38 : x
  2. Step 2: Convert to fraction form
    34,082.44/72,903.38 = 72,903.38/x
  3. Step 3: Cross multiply
    34,082.44x = 72,903.38 × 72,903.38
  4. Step 4: Simplify right side
    34,082.44x = 5,314,902,086.39
  5. Step 5: Solve for x
    x = 5,314,902,086.39/34,082.44
  6. Step 6: Final answer
    x = 155,942.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.