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Finding the Third Proportional to 30,425 and 66,844

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Solution

The third proportional to 30,425 and 66,844 is: 146,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425 : 66,844 = 66,844 : x
  2. Step 2: Convert to fraction form
    30,425/66,844 = 66,844/x
  3. Step 3: Cross multiply
    30,425x = 66,844 × 66,844
  4. Step 4: Simplify right side
    30,425x = 4,468,120,336
  5. Step 5: Solve for x
    x = 4,468,120,336/30,425
  6. Step 6: Final answer
    x = 146,856.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.