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Finding the Third Proportional to 14,114 and 30,994

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Solution

The third proportional to 14,114 and 30,994 is: 68,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114 : 30,994 = 30,994 : x
  2. Step 2: Convert to fraction form
    14,114/30,994 = 30,994/x
  3. Step 3: Cross multiply
    14,114x = 30,994 × 30,994
  4. Step 4: Simplify right side
    14,114x = 960,628,036
  5. Step 5: Solve for x
    x = 960,628,036/14,114
  6. Step 6: Final answer
    x = 68,062.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.