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Finding the Third Proportional to 19,000 and 41,671

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Solution

The third proportional to 19,000 and 41,671 is: 91,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 41,671 = 41,671 : x
  2. Step 2: Convert to fraction form
    19,000/41,671 = 41,671/x
  3. Step 3: Cross multiply
    19,000x = 41,671 × 41,671
  4. Step 4: Simplify right side
    19,000x = 1,736,472,241
  5. Step 5: Solve for x
    x = 1,736,472,241/19,000
  6. Step 6: Final answer
    x = 91,393.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.