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Finding the Third Proportional to 28,638 and 41,823

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Solution

The third proportional to 28,638 and 41,823 is: 61,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,638 : 41,823 = 41,823 : x
  2. Step 2: Convert to fraction form
    28,638/41,823 = 41,823/x
  3. Step 3: Cross multiply
    28,638x = 41,823 × 41,823
  4. Step 4: Simplify right side
    28,638x = 1,749,163,329
  5. Step 5: Solve for x
    x = 1,749,163,329/28,638
  6. Step 6: Final answer
    x = 61,078.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.