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Finding the Third Proportional to 14,864 and 33,009

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Solution

The third proportional to 14,864 and 33,009 is: 73,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864 : 33,009 = 33,009 : x
  2. Step 2: Convert to fraction form
    14,864/33,009 = 33,009/x
  3. Step 3: Cross multiply
    14,864x = 33,009 × 33,009
  4. Step 4: Simplify right side
    14,864x = 1,089,594,081
  5. Step 5: Solve for x
    x = 1,089,594,081/14,864
  6. Step 6: Final answer
    x = 73,304.23

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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.