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Finding the Third Proportional to 20,431 and 31,025

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Solution

The third proportional to 20,431 and 31,025 is: 47,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431 : 31,025 = 31,025 : x
  2. Step 2: Convert to fraction form
    20,431/31,025 = 31,025/x
  3. Step 3: Cross multiply
    20,431x = 31,025 × 31,025
  4. Step 4: Simplify right side
    20,431x = 962,550,625
  5. Step 5: Solve for x
    x = 962,550,625/20,431
  6. Step 6: Final answer
    x = 47,112.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.