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Finding the Third Proportional to 1,294 and 3,226

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Solution

The third proportional to 1,294 and 3,226 is: 8,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294 : 3,226 = 3,226 : x
  2. Step 2: Convert to fraction form
    1,294/3,226 = 3,226/x
  3. Step 3: Cross multiply
    1,294x = 3,226 × 3,226
  4. Step 4: Simplify right side
    1,294x = 10,407,076
  5. Step 5: Solve for x
    x = 10,407,076/1,294
  6. Step 6: Final answer
    x = 8,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.