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Finding the Third Proportional to 1,884.75 and 2,823.38

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Solution

The third proportional to 1,884.75 and 2,823.38 is: 4,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.75 : 2,823.38 = 2,823.38 : x
  2. Step 2: Convert to fraction form
    1,884.75/2,823.38 = 2,823.38/x
  3. Step 3: Cross multiply
    1,884.75x = 2,823.38 × 2,823.38
  4. Step 4: Simplify right side
    1,884.75x = 7,971,446.39
  5. Step 5: Solve for x
    x = 7,971,446.39/1,884.75
  6. Step 6: Final answer
    x = 4,229.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.