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Finding the Third Proportional to 28,184 and 43,976

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Solution

The third proportional to 28,184 and 43,976 is: 68,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184 : 43,976 = 43,976 : x
  2. Step 2: Convert to fraction form
    28,184/43,976 = 43,976/x
  3. Step 3: Cross multiply
    28,184x = 43,976 × 43,976
  4. Step 4: Simplify right side
    28,184x = 1,933,888,576
  5. Step 5: Solve for x
    x = 1,933,888,576/28,184
  6. Step 6: Final answer
    x = 68,616.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.