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Finding the Third Proportional to 30,944 and 53,949

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Solution

The third proportional to 30,944 and 53,949 is: 94,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944 : 53,949 = 53,949 : x
  2. Step 2: Convert to fraction form
    30,944/53,949 = 53,949/x
  3. Step 3: Cross multiply
    30,944x = 53,949 × 53,949
  4. Step 4: Simplify right side
    30,944x = 2,910,494,601
  5. Step 5: Solve for x
    x = 2,910,494,601/30,944
  6. Step 6: Final answer
    x = 94,056.83

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.