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Finding the Third Proportional to 866.44 and 2,103.38

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Solution

The third proportional to 866.44 and 2,103.38 is: 5,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.44 : 2,103.38 = 2,103.38 : x
  2. Step 2: Convert to fraction form
    866.44/2,103.38 = 2,103.38/x
  3. Step 3: Cross multiply
    866.44x = 2,103.38 × 2,103.38
  4. Step 4: Simplify right side
    866.44x = 4,424,186.39
  5. Step 5: Solve for x
    x = 4,424,186.39/866.44
  6. Step 6: Final answer
    x = 5,106.18

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.