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Finding the Third Proportional to 19,969 and 43,214

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Solution

The third proportional to 19,969 and 43,214 is: 93,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969 : 43,214 = 43,214 : x
  2. Step 2: Convert to fraction form
    19,969/43,214 = 43,214/x
  3. Step 3: Cross multiply
    19,969x = 43,214 × 43,214
  4. Step 4: Simplify right side
    19,969x = 1,867,449,796
  5. Step 5: Solve for x
    x = 1,867,449,796/19,969
  6. Step 6: Final answer
    x = 93,517.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.