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Finding the Third Proportional to 9,994 and 21,986

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Solution

The third proportional to 9,994 and 21,986 is: 48,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 21,986 = 21,986 : x
  2. Step 2: Convert to fraction form
    9,994/21,986 = 21,986/x
  3. Step 3: Cross multiply
    9,994x = 21,986 × 21,986
  4. Step 4: Simplify right side
    9,994x = 483,384,196
  5. Step 5: Solve for x
    x = 483,384,196/9,994
  6. Step 6: Final answer
    x = 48,367.44

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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.