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Finding the Third Proportional to 26,024 and 39,500

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Solution

The third proportional to 26,024 and 39,500 is: 59,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024 : 39,500 = 39,500 : x
  2. Step 2: Convert to fraction form
    26,024/39,500 = 39,500/x
  3. Step 3: Cross multiply
    26,024x = 39,500 × 39,500
  4. Step 4: Simplify right side
    26,024x = 1,560,250,000
  5. Step 5: Solve for x
    x = 1,560,250,000/26,024
  6. Step 6: Final answer
    x = 59,954.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.