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Finding the Third Proportional to 34,669 and 67,610

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Solution

The third proportional to 34,669 and 67,610 is: 131,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,669 : 67,610 = 67,610 : x
  2. Step 2: Convert to fraction form
    34,669/67,610 = 67,610/x
  3. Step 3: Cross multiply
    34,669x = 67,610 × 67,610
  4. Step 4: Simplify right side
    34,669x = 4,571,112,100
  5. Step 5: Solve for x
    x = 4,571,112,100/34,669
  6. Step 6: Final answer
    x = 131,850.13

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.