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Finding the Third Proportional to 26,022 and 28,756

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Solution

The third proportional to 26,022 and 28,756 is: 31,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 28,756 = 28,756 : x
  2. Step 2: Convert to fraction form
    26,022/28,756 = 28,756/x
  3. Step 3: Cross multiply
    26,022x = 28,756 × 28,756
  4. Step 4: Simplify right side
    26,022x = 826,907,536
  5. Step 5: Solve for x
    x = 826,907,536/26,022
  6. Step 6: Final answer
    x = 31,777.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.