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Finding the Third Proportional to 20,520 and 43,848

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Solution

The third proportional to 20,520 and 43,848 is: 93,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 43,848 = 43,848 : x
  2. Step 2: Convert to fraction form
    20,520/43,848 = 43,848/x
  3. Step 3: Cross multiply
    20,520x = 43,848 × 43,848
  4. Step 4: Simplify right side
    20,520x = 1,922,647,104
  5. Step 5: Solve for x
    x = 1,922,647,104/20,520
  6. Step 6: Final answer
    x = 93,696.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.