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Finding the Third Proportional to 34,674 and 67,620

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Solution

The third proportional to 34,674 and 67,620 is: 131,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674 : 67,620 = 67,620 : x
  2. Step 2: Convert to fraction form
    34,674/67,620 = 67,620/x
  3. Step 3: Cross multiply
    34,674x = 67,620 × 67,620
  4. Step 4: Simplify right side
    34,674x = 4,572,464,400
  5. Step 5: Solve for x
    x = 4,572,464,400/34,674
  6. Step 6: Final answer
    x = 131,870.12

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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.