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Finding the Third Proportional to 19,975 and 31,334

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Solution

The third proportional to 19,975 and 31,334 is: 49,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975 : 31,334 = 31,334 : x
  2. Step 2: Convert to fraction form
    19,975/31,334 = 31,334/x
  3. Step 3: Cross multiply
    19,975x = 31,334 × 31,334
  4. Step 4: Simplify right side
    19,975x = 981,819,556
  5. Step 5: Solve for x
    x = 981,819,556/19,975
  6. Step 6: Final answer
    x = 49,152.42

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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.