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Finding the Third Proportional to 38,406 and 57,609

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Solution

The third proportional to 38,406 and 57,609 is: 86,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406 : 57,609 = 57,609 : x
  2. Step 2: Convert to fraction form
    38,406/57,609 = 57,609/x
  3. Step 3: Cross multiply
    38,406x = 57,609 × 57,609
  4. Step 4: Simplify right side
    38,406x = 3,318,796,881
  5. Step 5: Solve for x
    x = 3,318,796,881/38,406
  6. Step 6: Final answer
    x = 86,413.50

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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.