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Finding the Third Proportional to 19,845 and 27,025

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Solution

The third proportional to 19,845 and 27,025 is: 36,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 27,025 = 27,025 : x
  2. Step 2: Convert to fraction form
    19,845/27,025 = 27,025/x
  3. Step 3: Cross multiply
    19,845x = 27,025 × 27,025
  4. Step 4: Simplify right side
    19,845x = 730,350,625
  5. Step 5: Solve for x
    x = 730,350,625/19,845
  6. Step 6: Final answer
    x = 36,802.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.