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Finding the Third Proportional to 26,065 and 41,968

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Solution

The third proportional to 26,065 and 41,968 is: 67,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065 : 41,968 = 41,968 : x
  2. Step 2: Convert to fraction form
    26,065/41,968 = 41,968/x
  3. Step 3: Cross multiply
    26,065x = 41,968 × 41,968
  4. Step 4: Simplify right side
    26,065x = 1,761,313,024
  5. Step 5: Solve for x
    x = 1,761,313,024/26,065
  6. Step 6: Final answer
    x = 67,573.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.