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Finding the Third Proportional to 5,383 and 11,495

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Solution

The third proportional to 5,383 and 11,495 is: 24,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 11,495 = 11,495 : x
  2. Step 2: Convert to fraction form
    5,383/11,495 = 11,495/x
  3. Step 3: Cross multiply
    5,383x = 11,495 × 11,495
  4. Step 4: Simplify right side
    5,383x = 132,135,025
  5. Step 5: Solve for x
    x = 132,135,025/5,383
  6. Step 6: Final answer
    x = 24,546.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.