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Finding the Third Proportional to 5,517 and 11,577

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Solution

The third proportional to 5,517 and 11,577 is: 24,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 11,577 = 11,577 : x
  2. Step 2: Convert to fraction form
    5,517/11,577 = 11,577/x
  3. Step 3: Cross multiply
    5,517x = 11,577 × 11,577
  4. Step 4: Simplify right side
    5,517x = 134,026,929
  5. Step 5: Solve for x
    x = 134,026,929/5,517
  6. Step 6: Final answer
    x = 24,293.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.