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Finding the Third Proportional to 2,007 and 2,696.63

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Solution

The third proportional to 2,007 and 2,696.63 is: 3,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007 : 2,696.63 = 2,696.63 : x
  2. Step 2: Convert to fraction form
    2,007/2,696.63 = 2,696.63/x
  3. Step 3: Cross multiply
    2,007x = 2,696.63 × 2,696.63
  4. Step 4: Simplify right side
    2,007x = 7,271,786.39
  5. Step 5: Solve for x
    x = 7,271,786.39/2,007
  6. Step 6: Final answer
    x = 3,623.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.