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Finding the Third Proportional to 30,958 and 67,851

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Solution

The third proportional to 30,958 and 67,851 is: 148,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,958 : 67,851 = 67,851 : x
  2. Step 2: Convert to fraction form
    30,958/67,851 = 67,851/x
  3. Step 3: Cross multiply
    30,958x = 67,851 × 67,851
  4. Step 4: Simplify right side
    30,958x = 4,603,758,201
  5. Step 5: Solve for x
    x = 4,603,758,201/30,958
  6. Step 6: Final answer
    x = 148,709.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.