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Finding the Third Proportional to 34,112 and 44,895

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Solution

The third proportional to 34,112 and 44,895 is: 59,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112 : 44,895 = 44,895 : x
  2. Step 2: Convert to fraction form
    34,112/44,895 = 44,895/x
  3. Step 3: Cross multiply
    34,112x = 44,895 × 44,895
  4. Step 4: Simplify right side
    34,112x = 2,015,561,025
  5. Step 5: Solve for x
    x = 2,015,561,025/34,112
  6. Step 6: Final answer
    x = 59,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.