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Finding the Third Proportional to 28,084 and 43,806

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Solution

The third proportional to 28,084 and 43,806 is: 68,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,084 : 43,806 = 43,806 : x
  2. Step 2: Convert to fraction form
    28,084/43,806 = 43,806/x
  3. Step 3: Cross multiply
    28,084x = 43,806 × 43,806
  4. Step 4: Simplify right side
    28,084x = 1,918,965,636
  5. Step 5: Solve for x
    x = 1,918,965,636/28,084
  6. Step 6: Final answer
    x = 68,329.50

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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.