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Finding the Third Proportional to 47,425 and 71,014

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Solution

The third proportional to 47,425 and 71,014 is: 106,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425 : 71,014 = 71,014 : x
  2. Step 2: Convert to fraction form
    47,425/71,014 = 71,014/x
  3. Step 3: Cross multiply
    47,425x = 71,014 × 71,014
  4. Step 4: Simplify right side
    47,425x = 5,042,988,196
  5. Step 5: Solve for x
    x = 5,042,988,196/47,425
  6. Step 6: Final answer
    x = 106,336.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.