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Finding the Third Proportional to 26,311 and 40,250

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Solution

The third proportional to 26,311 and 40,250 is: 61,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311 : 40,250 = 40,250 : x
  2. Step 2: Convert to fraction form
    26,311/40,250 = 40,250/x
  3. Step 3: Cross multiply
    26,311x = 40,250 × 40,250
  4. Step 4: Simplify right side
    26,311x = 1,620,062,500
  5. Step 5: Solve for x
    x = 1,620,062,500/26,311
  6. Step 6: Final answer
    x = 61,573.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.