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Finding the Third Proportional to 16,233 and 25,821

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Solution

The third proportional to 16,233 and 25,821 is: 41,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233 : 25,821 = 25,821 : x
  2. Step 2: Convert to fraction form
    16,233/25,821 = 25,821/x
  3. Step 3: Cross multiply
    16,233x = 25,821 × 25,821
  4. Step 4: Simplify right side
    16,233x = 666,724,041
  5. Step 5: Solve for x
    x = 666,724,041/16,233
  6. Step 6: Final answer
    x = 41,072.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.