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Finding the Third Proportional to 28,266 and 55,821

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Solution

The third proportional to 28,266 and 55,821 is: 110,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,266 : 55,821 = 55,821 : x
  2. Step 2: Convert to fraction form
    28,266/55,821 = 55,821/x
  3. Step 3: Cross multiply
    28,266x = 55,821 × 55,821
  4. Step 4: Simplify right side
    28,266x = 3,115,984,041
  5. Step 5: Solve for x
    x = 3,115,984,041/28,266
  6. Step 6: Final answer
    x = 110,237.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.