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Finding the Third Proportional to 30,848 and 43,680

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Solution

The third proportional to 30,848 and 43,680 is: 61,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848 : 43,680 = 43,680 : x
  2. Step 2: Convert to fraction form
    30,848/43,680 = 43,680/x
  3. Step 3: Cross multiply
    30,848x = 43,680 × 43,680
  4. Step 4: Simplify right side
    30,848x = 1,907,942,400
  5. Step 5: Solve for x
    x = 1,907,942,400/30,848
  6. Step 6: Final answer
    x = 61,849.79

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.