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Finding the Third Proportional to 21,994 and 48,021

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Solution

The third proportional to 21,994 and 48,021 is: 104,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994 : 48,021 = 48,021 : x
  2. Step 2: Convert to fraction form
    21,994/48,021 = 48,021/x
  3. Step 3: Cross multiply
    21,994x = 48,021 × 48,021
  4. Step 4: Simplify right side
    21,994x = 2,306,016,441
  5. Step 5: Solve for x
    x = 2,306,016,441/21,994
  6. Step 6: Final answer
    x = 104,847.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.