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Finding the Third Proportional to 38,216 and 50,968

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Solution

The third proportional to 38,216 and 50,968 is: 67,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216 : 50,968 = 50,968 : x
  2. Step 2: Convert to fraction form
    38,216/50,968 = 50,968/x
  3. Step 3: Cross multiply
    38,216x = 50,968 × 50,968
  4. Step 4: Simplify right side
    38,216x = 2,597,737,024
  5. Step 5: Solve for x
    x = 2,597,737,024/38,216
  6. Step 6: Final answer
    x = 67,975.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.