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Finding the Third Proportional to 10,828 and 16,242

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Solution

The third proportional to 10,828 and 16,242 is: 24,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828 : 16,242 = 16,242 : x
  2. Step 2: Convert to fraction form
    10,828/16,242 = 16,242/x
  3. Step 3: Cross multiply
    10,828x = 16,242 × 16,242
  4. Step 4: Simplify right side
    10,828x = 263,802,564
  5. Step 5: Solve for x
    x = 263,802,564/10,828
  6. Step 6: Final answer
    x = 24,363

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.