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Finding the Third Proportional to 11,518 and 12,622

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Solution

The third proportional to 11,518 and 12,622 is: 13,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 12,622 = 12,622 : x
  2. Step 2: Convert to fraction form
    11,518/12,622 = 12,622/x
  3. Step 3: Cross multiply
    11,518x = 12,622 × 12,622
  4. Step 4: Simplify right side
    11,518x = 159,314,884
  5. Step 5: Solve for x
    x = 159,314,884/11,518
  6. Step 6: Final answer
    x = 13,831.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.