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Finding the Third Proportional to 2,154 and 3,356

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Solution

The third proportional to 2,154 and 3,356 is: 5,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154 : 3,356 = 3,356 : x
  2. Step 2: Convert to fraction form
    2,154/3,356 = 3,356/x
  3. Step 3: Cross multiply
    2,154x = 3,356 × 3,356
  4. Step 4: Simplify right side
    2,154x = 11,262,736
  5. Step 5: Solve for x
    x = 11,262,736/2,154
  6. Step 6: Final answer
    x = 5,228.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.