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Finding the Third Proportional to 38,412 and 59,257

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Solution

The third proportional to 38,412 and 59,257 is: 91,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412 : 59,257 = 59,257 : x
  2. Step 2: Convert to fraction form
    38,412/59,257 = 59,257/x
  3. Step 3: Cross multiply
    38,412x = 59,257 × 59,257
  4. Step 4: Simplify right side
    38,412x = 3,511,392,049
  5. Step 5: Solve for x
    x = 3,511,392,049/38,412
  6. Step 6: Final answer
    x = 91,413.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.