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Finding the Third Proportional to 30,844 and 67,257

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Solution

The third proportional to 30,844 and 67,257 is: 146,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844 : 67,257 = 67,257 : x
  2. Step 2: Convert to fraction form
    30,844/67,257 = 67,257/x
  3. Step 3: Cross multiply
    30,844x = 67,257 × 67,257
  4. Step 4: Simplify right side
    30,844x = 4,523,504,049
  5. Step 5: Solve for x
    x = 4,523,504,049/30,844
  6. Step 6: Final answer
    x = 146,657.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.