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Finding the Third Proportional to 20,052 and 31,538.25

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Solution

The third proportional to 20,052 and 31,538.25 is: 49,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052 : 31,538.25 = 31,538.25 : x
  2. Step 2: Convert to fraction form
    20,052/31,538.25 = 31,538.25/x
  3. Step 3: Cross multiply
    20,052x = 31,538.25 × 31,538.25
  4. Step 4: Simplify right side
    20,052x = 994,661,213.06
  5. Step 5: Solve for x
    x = 994,661,213.06/20,052
  6. Step 6: Final answer
    x = 49,604.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.