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Finding the Third Proportional to 19,975 and 31,333

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Solution

The third proportional to 19,975 and 31,333 is: 49,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975 : 31,333 = 31,333 : x
  2. Step 2: Convert to fraction form
    19,975/31,333 = 31,333/x
  3. Step 3: Cross multiply
    19,975x = 31,333 × 31,333
  4. Step 4: Simplify right side
    19,975x = 981,756,889
  5. Step 5: Solve for x
    x = 981,756,889/19,975
  6. Step 6: Final answer
    x = 49,149.28

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