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Finding the Third Proportional to 5,884 and 12,938

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Solution

The third proportional to 5,884 and 12,938 is: 28,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 12,938 = 12,938 : x
  2. Step 2: Convert to fraction form
    5,884/12,938 = 12,938/x
  3. Step 3: Cross multiply
    5,884x = 12,938 × 12,938
  4. Step 4: Simplify right side
    5,884x = 167,391,844
  5. Step 5: Solve for x
    x = 167,391,844/5,884
  6. Step 6: Final answer
    x = 28,448.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.