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Finding the Third Proportional to 19,505 and 45,997

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Solution

The third proportional to 19,505 and 45,997 is: 108,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505 : 45,997 = 45,997 : x
  2. Step 2: Convert to fraction form
    19,505/45,997 = 45,997/x
  3. Step 3: Cross multiply
    19,505x = 45,997 × 45,997
  4. Step 4: Simplify right side
    19,505x = 2,115,724,009
  5. Step 5: Solve for x
    x = 2,115,724,009/19,505
  6. Step 6: Final answer
    x = 108,470.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.