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Finding the Third Proportional to 38,413.25 and 83,831

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Solution

The third proportional to 38,413.25 and 83,831 is: 182,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.25 : 83,831 = 83,831 : x
  2. Step 2: Convert to fraction form
    38,413.25/83,831 = 83,831/x
  3. Step 3: Cross multiply
    38,413.25x = 83,831 × 83,831
  4. Step 4: Simplify right side
    38,413.25x = 7,027,636,561
  5. Step 5: Solve for x
    x = 7,027,636,561/38,413.25
  6. Step 6: Final answer
    x = 182,948.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.