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Finding the Third Proportional to 48,782 and 72,965

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Solution

The third proportional to 48,782 and 72,965 is: 109,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782 : 72,965 = 72,965 : x
  2. Step 2: Convert to fraction form
    48,782/72,965 = 72,965/x
  3. Step 3: Cross multiply
    48,782x = 72,965 × 72,965
  4. Step 4: Simplify right side
    48,782x = 5,323,891,225
  5. Step 5: Solve for x
    x = 5,323,891,225/48,782
  6. Step 6: Final answer
    x = 109,136.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.