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Finding the Third Proportional to 13,922 and 31,349

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Solution

The third proportional to 13,922 and 31,349 is: 70,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922 : 31,349 = 31,349 : x
  2. Step 2: Convert to fraction form
    13,922/31,349 = 31,349/x
  3. Step 3: Cross multiply
    13,922x = 31,349 × 31,349
  4. Step 4: Simplify right side
    13,922x = 982,759,801
  5. Step 5: Solve for x
    x = 982,759,801/13,922
  6. Step 6: Final answer
    x = 70,590.42

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.