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Finding the Third Proportional to 40,907 and 62,171

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Solution

The third proportional to 40,907 and 62,171 is: 94,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 62,171 = 62,171 : x
  2. Step 2: Convert to fraction form
    40,907/62,171 = 62,171/x
  3. Step 3: Cross multiply
    40,907x = 62,171 × 62,171
  4. Step 4: Simplify right side
    40,907x = 3,865,233,241
  5. Step 5: Solve for x
    x = 3,865,233,241/40,907
  6. Step 6: Final answer
    x = 94,488.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.