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Finding the Third Proportional to 18,009 and 24,244

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Solution

The third proportional to 18,009 and 24,244 is: 32,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,009 : 24,244 = 24,244 : x
  2. Step 2: Convert to fraction form
    18,009/24,244 = 24,244/x
  3. Step 3: Cross multiply
    18,009x = 24,244 × 24,244
  4. Step 4: Simplify right side
    18,009x = 587,771,536
  5. Step 5: Solve for x
    x = 587,771,536/18,009
  6. Step 6: Final answer
    x = 32,637.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.