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Finding the Third Proportional to 19,842 and 43,652

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Solution

The third proportional to 19,842 and 43,652 is: 96,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842 : 43,652 = 43,652 : x
  2. Step 2: Convert to fraction form
    19,842/43,652 = 43,652/x
  3. Step 3: Cross multiply
    19,842x = 43,652 × 43,652
  4. Step 4: Simplify right side
    19,842x = 1,905,497,104
  5. Step 5: Solve for x
    x = 1,905,497,104/19,842
  6. Step 6: Final answer
    x = 96,033.52

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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.