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Finding the Third Proportional to 10,533 and 22,815

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Solution

The third proportional to 10,533 and 22,815 is: 49,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533 : 22,815 = 22,815 : x
  2. Step 2: Convert to fraction form
    10,533/22,815 = 22,815/x
  3. Step 3: Cross multiply
    10,533x = 22,815 × 22,815
  4. Step 4: Simplify right side
    10,533x = 520,524,225
  5. Step 5: Solve for x
    x = 520,524,225/10,533
  6. Step 6: Final answer
    x = 49,418.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.