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Finding the Third Proportional to 5,286 and 10,892

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Solution

The third proportional to 5,286 and 10,892 is: 22,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 10,892 = 10,892 : x
  2. Step 2: Convert to fraction form
    5,286/10,892 = 10,892/x
  3. Step 3: Cross multiply
    5,286x = 10,892 × 10,892
  4. Step 4: Simplify right side
    5,286x = 118,635,664
  5. Step 5: Solve for x
    x = 118,635,664/5,286
  6. Step 6: Final answer
    x = 22,443.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.