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Finding the Third Proportional to 20,724 and 31,873

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Solution

The third proportional to 20,724 and 31,873 is: 49,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724 : 31,873 = 31,873 : x
  2. Step 2: Convert to fraction form
    20,724/31,873 = 31,873/x
  3. Step 3: Cross multiply
    20,724x = 31,873 × 31,873
  4. Step 4: Simplify right side
    20,724x = 1,015,888,129
  5. Step 5: Solve for x
    x = 1,015,888,129/20,724
  6. Step 6: Final answer
    x = 49,019.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.