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Finding the Third Proportional to 1,496 and 3,274

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Solution

The third proportional to 1,496 and 3,274 is: 7,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496 : 3,274 = 3,274 : x
  2. Step 2: Convert to fraction form
    1,496/3,274 = 3,274/x
  3. Step 3: Cross multiply
    1,496x = 3,274 × 3,274
  4. Step 4: Simplify right side
    1,496x = 10,719,076
  5. Step 5: Solve for x
    x = 10,719,076/1,496
  6. Step 6: Final answer
    x = 7,165.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.