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Finding the Third Proportional to 26,286 and 40,196.25

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Solution

The third proportional to 26,286 and 40,196.25 is: 61,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,286 : 40,196.25 = 40,196.25 : x
  2. Step 2: Convert to fraction form
    26,286/40,196.25 = 40,196.25/x
  3. Step 3: Cross multiply
    26,286x = 40,196.25 × 40,196.25
  4. Step 4: Simplify right side
    26,286x = 1,615,738,514.06
  5. Step 5: Solve for x
    x = 1,615,738,514.06/26,286
  6. Step 6: Final answer
    x = 61,467.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.