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Finding the Third Proportional to 33,440 and 44,758

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Solution

The third proportional to 33,440 and 44,758 is: 59,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,440 : 44,758 = 44,758 : x
  2. Step 2: Convert to fraction form
    33,440/44,758 = 44,758/x
  3. Step 3: Cross multiply
    33,440x = 44,758 × 44,758
  4. Step 4: Simplify right side
    33,440x = 2,003,278,564
  5. Step 5: Solve for x
    x = 2,003,278,564/33,440
  6. Step 6: Final answer
    x = 59,906.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.