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Finding the Third Proportional to 19,794 and 43,476

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Solution

The third proportional to 19,794 and 43,476 is: 95,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 43,476 = 43,476 : x
  2. Step 2: Convert to fraction form
    19,794/43,476 = 43,476/x
  3. Step 3: Cross multiply
    19,794x = 43,476 × 43,476
  4. Step 4: Simplify right side
    19,794x = 1,890,162,576
  5. Step 5: Solve for x
    x = 1,890,162,576/19,794
  6. Step 6: Final answer
    x = 95,491.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.