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Finding the Third Proportional to 12,794 and 26,222

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Solution

The third proportional to 12,794 and 26,222 is: 53,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 26,222 = 26,222 : x
  2. Step 2: Convert to fraction form
    12,794/26,222 = 26,222/x
  3. Step 3: Cross multiply
    12,794x = 26,222 × 26,222
  4. Step 4: Simplify right side
    12,794x = 687,593,284
  5. Step 5: Solve for x
    x = 687,593,284/12,794
  6. Step 6: Final answer
    x = 53,743.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.