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Finding the Third Proportional to 30,494 and 65,848

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Solution

The third proportional to 30,494 and 65,848 is: 142,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494 : 65,848 = 65,848 : x
  2. Step 2: Convert to fraction form
    30,494/65,848 = 65,848/x
  3. Step 3: Cross multiply
    30,494x = 65,848 × 65,848
  4. Step 4: Simplify right side
    30,494x = 4,335,959,104
  5. Step 5: Solve for x
    x = 4,335,959,104/30,494
  6. Step 6: Final answer
    x = 142,190.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.