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Finding the Third Proportional to 43,892 and 66,918

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Solution

The third proportional to 43,892 and 66,918 is: 102,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,892 : 66,918 = 66,918 : x
  2. Step 2: Convert to fraction form
    43,892/66,918 = 66,918/x
  3. Step 3: Cross multiply
    43,892x = 66,918 × 66,918
  4. Step 4: Simplify right side
    43,892x = 4,478,018,724
  5. Step 5: Solve for x
    x = 4,478,018,724/43,892
  6. Step 6: Final answer
    x = 102,023.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.