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Finding the Third Proportional to 18,736 and 29,009

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Solution

The third proportional to 18,736 and 29,009 is: 44,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736 : 29,009 = 29,009 : x
  2. Step 2: Convert to fraction form
    18,736/29,009 = 29,009/x
  3. Step 3: Cross multiply
    18,736x = 29,009 × 29,009
  4. Step 4: Simplify right side
    18,736x = 841,522,081
  5. Step 5: Solve for x
    x = 841,522,081/18,736
  6. Step 6: Final answer
    x = 44,914.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.