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Finding the Third Proportional to 34,668 and 55,826

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Solution

The third proportional to 34,668 and 55,826 is: 89,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 55,826 = 55,826 : x
  2. Step 2: Convert to fraction form
    34,668/55,826 = 55,826/x
  3. Step 3: Cross multiply
    34,668x = 55,826 × 55,826
  4. Step 4: Simplify right side
    34,668x = 3,116,542,276
  5. Step 5: Solve for x
    x = 3,116,542,276/34,668
  6. Step 6: Final answer
    x = 89,896.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.