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Finding the Third Proportional to 18,089 and 27,025

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Solution

The third proportional to 18,089 and 27,025 is: 40,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,089 : 27,025 = 27,025 : x
  2. Step 2: Convert to fraction form
    18,089/27,025 = 27,025/x
  3. Step 3: Cross multiply
    18,089x = 27,025 × 27,025
  4. Step 4: Simplify right side
    18,089x = 730,350,625
  5. Step 5: Solve for x
    x = 730,350,625/18,089
  6. Step 6: Final answer
    x = 40,375.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.