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Finding the Third Proportional to 18,004 and 24,089

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Solution

The third proportional to 18,004 and 24,089 is: 32,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,004 : 24,089 = 24,089 : x
  2. Step 2: Convert to fraction form
    18,004/24,089 = 24,089/x
  3. Step 3: Cross multiply
    18,004x = 24,089 × 24,089
  4. Step 4: Simplify right side
    18,004x = 580,279,921
  5. Step 5: Solve for x
    x = 580,279,921/18,004
  6. Step 6: Final answer
    x = 32,230.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.