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Finding the Third Proportional to 25,879.50 and 26,345.25

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Solution

The third proportional to 25,879.50 and 26,345.25 is: 26,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.50 : 26,345.25 = 26,345.25 : x
  2. Step 2: Convert to fraction form
    25,879.50/26,345.25 = 26,345.25/x
  3. Step 3: Cross multiply
    25,879.50x = 26,345.25 × 26,345.25
  4. Step 4: Simplify right side
    25,879.50x = 694,072,197.56
  5. Step 5: Solve for x
    x = 694,072,197.56/25,879.50
  6. Step 6: Final answer
    x = 26,819.38

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.