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Finding the Third Proportional to 19,812 and 43,997

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Solution

The third proportional to 19,812 and 43,997 is: 97,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 43,997 = 43,997 : x
  2. Step 2: Convert to fraction form
    19,812/43,997 = 43,997/x
  3. Step 3: Cross multiply
    19,812x = 43,997 × 43,997
  4. Step 4: Simplify right side
    19,812x = 1,935,736,009
  5. Step 5: Solve for x
    x = 1,935,736,009/19,812
  6. Step 6: Final answer
    x = 97,705.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.