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Finding the Third Proportional to 46,824 and 100,812

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Solution

The third proportional to 46,824 and 100,812 is: 217,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824 : 100,812 = 100,812 : x
  2. Step 2: Convert to fraction form
    46,824/100,812 = 100,812/x
  3. Step 3: Cross multiply
    46,824x = 100,812 × 100,812
  4. Step 4: Simplify right side
    46,824x = 10,163,059,344
  5. Step 5: Solve for x
    x = 10,163,059,344/46,824
  6. Step 6: Final answer
    x = 217,048.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.