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Finding the Third Proportional to 17,647 and 26,467.50

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Solution

The third proportional to 17,647 and 26,467.50 is: 39,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647 : 26,467.50 = 26,467.50 : x
  2. Step 2: Convert to fraction form
    17,647/26,467.50 = 26,467.50/x
  3. Step 3: Cross multiply
    17,647x = 26,467.50 × 26,467.50
  4. Step 4: Simplify right side
    17,647x = 700,528,556.25
  5. Step 5: Solve for x
    x = 700,528,556.25/17,647
  6. Step 6: Final answer
    x = 39,696.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.