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Finding the Third Proportional to 34,401.75 and 71,163.38

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Solution

The third proportional to 34,401.75 and 71,163.38 is: 147,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401.75 : 71,163.38 = 71,163.38 : x
  2. Step 2: Convert to fraction form
    34,401.75/71,163.38 = 71,163.38/x
  3. Step 3: Cross multiply
    34,401.75x = 71,163.38 × 71,163.38
  4. Step 4: Simplify right side
    34,401.75x = 5,064,225,941.39
  5. Step 5: Solve for x
    x = 5,064,225,941.39/34,401.75
  6. Step 6: Final answer
    x = 147,208.38

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.