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Finding the Third Proportional to 26,573 and 41,120

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Solution

The third proportional to 26,573 and 41,120 is: 63,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,573 : 41,120 = 41,120 : x
  2. Step 2: Convert to fraction form
    26,573/41,120 = 41,120/x
  3. Step 3: Cross multiply
    26,573x = 41,120 × 41,120
  4. Step 4: Simplify right side
    26,573x = 1,690,854,400
  5. Step 5: Solve for x
    x = 1,690,854,400/26,573
  6. Step 6: Final answer
    x = 63,630.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.