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Finding the Third Proportional to 21,885 and 30,153

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Solution

The third proportional to 21,885 and 30,153 is: 41,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885 : 30,153 = 30,153 : x
  2. Step 2: Convert to fraction form
    21,885/30,153 = 30,153/x
  3. Step 3: Cross multiply
    21,885x = 30,153 × 30,153
  4. Step 4: Simplify right side
    21,885x = 909,203,409
  5. Step 5: Solve for x
    x = 909,203,409/21,885
  6. Step 6: Final answer
    x = 41,544.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.