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Finding the Third Proportional to 37,782 and 59,994

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Solution

The third proportional to 37,782 and 59,994 is: 95,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782 : 59,994 = 59,994 : x
  2. Step 2: Convert to fraction form
    37,782/59,994 = 59,994/x
  3. Step 3: Cross multiply
    37,782x = 59,994 × 59,994
  4. Step 4: Simplify right side
    37,782x = 3,599,280,036
  5. Step 5: Solve for x
    x = 3,599,280,036/37,782
  6. Step 6: Final answer
    x = 95,264.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.