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Finding the Third Proportional to 2,896 and 3,196

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Solution

The third proportional to 2,896 and 3,196 is: 3,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896 : 3,196 = 3,196 : x
  2. Step 2: Convert to fraction form
    2,896/3,196 = 3,196/x
  3. Step 3: Cross multiply
    2,896x = 3,196 × 3,196
  4. Step 4: Simplify right side
    2,896x = 10,214,416
  5. Step 5: Solve for x
    x = 10,214,416/2,896
  6. Step 6: Final answer
    x = 3,527.08

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.