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Finding the Third Proportional to 11,077 and 16,577

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Solution

The third proportional to 11,077 and 16,577 is: 24,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077 : 16,577 = 16,577 : x
  2. Step 2: Convert to fraction form
    11,077/16,577 = 16,577/x
  3. Step 3: Cross multiply
    11,077x = 16,577 × 16,577
  4. Step 4: Simplify right side
    11,077x = 274,796,929
  5. Step 5: Solve for x
    x = 274,796,929/11,077
  6. Step 6: Final answer
    x = 24,807.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.