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Finding the Third Proportional to 13,577 and 28,027

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Solution

The third proportional to 13,577 and 28,027 is: 57,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577 : 28,027 = 28,027 : x
  2. Step 2: Convert to fraction form
    13,577/28,027 = 28,027/x
  3. Step 3: Cross multiply
    13,577x = 28,027 × 28,027
  4. Step 4: Simplify right side
    13,577x = 785,512,729
  5. Step 5: Solve for x
    x = 785,512,729/13,577
  6. Step 6: Final answer
    x = 57,856.13

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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.