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Finding the Third Proportional to 47,671 and 71,485

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Solution

The third proportional to 47,671 and 71,485 is: 107,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671 : 71,485 = 71,485 : x
  2. Step 2: Convert to fraction form
    47,671/71,485 = 71,485/x
  3. Step 3: Cross multiply
    47,671x = 71,485 × 71,485
  4. Step 4: Simplify right side
    47,671x = 5,110,105,225
  5. Step 5: Solve for x
    x = 5,110,105,225/47,671
  6. Step 6: Final answer
    x = 107,195.26

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Why These Related Problems?

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