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Finding the Third Proportional to 815.44 and 1,924.59

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Solution

The third proportional to 815.44 and 1,924.59 is: 4,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.44 : 1,924.59 = 1,924.59 : x
  2. Step 2: Convert to fraction form
    815.44/1,924.59 = 1,924.59/x
  3. Step 3: Cross multiply
    815.44x = 1,924.59 × 1,924.59
  4. Step 4: Simplify right side
    815.44x = 3,704,061.10
  5. Step 5: Solve for x
    x = 3,704,061.10/815.44
  6. Step 6: Final answer
    x = 4,542.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.