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Finding the Third Proportional to 28,821 and 44,106

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Solution

The third proportional to 28,821 and 44,106 is: 67,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,821 : 44,106 = 44,106 : x
  2. Step 2: Convert to fraction form
    28,821/44,106 = 44,106/x
  3. Step 3: Cross multiply
    28,821x = 44,106 × 44,106
  4. Step 4: Simplify right side
    28,821x = 1,945,339,236
  5. Step 5: Solve for x
    x = 1,945,339,236/28,821
  6. Step 6: Final answer
    x = 67,497.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.