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Finding the Third Proportional to 41,282 and 59,907

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Solution

The third proportional to 41,282 and 59,907 is: 86,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,282 : 59,907 = 59,907 : x
  2. Step 2: Convert to fraction form
    41,282/59,907 = 59,907/x
  3. Step 3: Cross multiply
    41,282x = 59,907 × 59,907
  4. Step 4: Simplify right side
    41,282x = 3,588,848,649
  5. Step 5: Solve for x
    x = 3,588,848,649/41,282
  6. Step 6: Final answer
    x = 86,934.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.