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Finding the Third Proportional to 19,963 and 43,249

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Solution

The third proportional to 19,963 and 43,249 is: 93,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963 : 43,249 = 43,249 : x
  2. Step 2: Convert to fraction form
    19,963/43,249 = 43,249/x
  3. Step 3: Cross multiply
    19,963x = 43,249 × 43,249
  4. Step 4: Simplify right side
    19,963x = 1,870,476,001
  5. Step 5: Solve for x
    x = 1,870,476,001/19,963
  6. Step 6: Final answer
    x = 93,697.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.