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Finding the Third Proportional to 34,896 and 44,811

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Solution

The third proportional to 34,896 and 44,811 is: 57,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,896 : 44,811 = 44,811 : x
  2. Step 2: Convert to fraction form
    34,896/44,811 = 44,811/x
  3. Step 3: Cross multiply
    34,896x = 44,811 × 44,811
  4. Step 4: Simplify right side
    34,896x = 2,008,025,721
  5. Step 5: Solve for x
    x = 2,008,025,721/34,896
  6. Step 6: Final answer
    x = 57,543.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.