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Finding the Third Proportional to 2,005 and 2,356

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Solution

The third proportional to 2,005 and 2,356 is: 2,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 2,356 = 2,356 : x
  2. Step 2: Convert to fraction form
    2,005/2,356 = 2,356/x
  3. Step 3: Cross multiply
    2,005x = 2,356 × 2,356
  4. Step 4: Simplify right side
    2,005x = 5,550,736
  5. Step 5: Solve for x
    x = 5,550,736/2,005
  6. Step 6: Final answer
    x = 2,768.45

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.