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Finding the Third Proportional to 41,251 and 61,968

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Solution

The third proportional to 41,251 and 61,968 is: 93,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,251 : 61,968 = 61,968 : x
  2. Step 2: Convert to fraction form
    41,251/61,968 = 61,968/x
  3. Step 3: Cross multiply
    41,251x = 61,968 × 61,968
  4. Step 4: Simplify right side
    41,251x = 3,840,033,024
  5. Step 5: Solve for x
    x = 3,840,033,024/41,251
  6. Step 6: Final answer
    x = 93,089.45

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Why These Related Problems?

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