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Finding the Third Proportional to 1,823.25 and 2,696.38

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Solution

The third proportional to 1,823.25 and 2,696.38 is: 3,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.25 : 2,696.38 = 2,696.38 : x
  2. Step 2: Convert to fraction form
    1,823.25/2,696.38 = 2,696.38/x
  3. Step 3: Cross multiply
    1,823.25x = 2,696.38 × 2,696.38
  4. Step 4: Simplify right side
    1,823.25x = 7,270,438.14
  5. Step 5: Solve for x
    x = 7,270,438.14/1,823.25
  6. Step 6: Final answer
    x = 3,987.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.