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Finding the Third Proportional to 9,828 and 22,860

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Solution

The third proportional to 9,828 and 22,860 is: 53,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 22,860 = 22,860 : x
  2. Step 2: Convert to fraction form
    9,828/22,860 = 22,860/x
  3. Step 3: Cross multiply
    9,828x = 22,860 × 22,860
  4. Step 4: Simplify right side
    9,828x = 522,579,600
  5. Step 5: Solve for x
    x = 522,579,600/9,828
  6. Step 6: Final answer
    x = 53,172.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.