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Finding the Third Proportional to 1,923.19 and 2,884.22

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Solution

The third proportional to 1,923.19 and 2,884.22 is: 4,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.19 : 2,884.22 = 2,884.22 : x
  2. Step 2: Convert to fraction form
    1,923.19/2,884.22 = 2,884.22/x
  3. Step 3: Cross multiply
    1,923.19x = 2,884.22 × 2,884.22
  4. Step 4: Simplify right side
    1,923.19x = 8,318,717.80
  5. Step 5: Solve for x
    x = 8,318,717.80/1,923.19
  6. Step 6: Final answer
    x = 4,325.48

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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.