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Finding the Third Proportional to 20,794 and 45,476

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Solution

The third proportional to 20,794 and 45,476 is: 99,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794 : 45,476 = 45,476 : x
  2. Step 2: Convert to fraction form
    20,794/45,476 = 45,476/x
  3. Step 3: Cross multiply
    20,794x = 45,476 × 45,476
  4. Step 4: Simplify right side
    20,794x = 2,068,066,576
  5. Step 5: Solve for x
    x = 2,068,066,576/20,794
  6. Step 6: Final answer
    x = 99,454.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.