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Finding the Third Proportional to 26,000 and 39,234

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Solution

The third proportional to 26,000 and 39,234 is: 59,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 39,234 = 39,234 : x
  2. Step 2: Convert to fraction form
    26,000/39,234 = 39,234/x
  3. Step 3: Cross multiply
    26,000x = 39,234 × 39,234
  4. Step 4: Simplify right side
    26,000x = 1,539,306,756
  5. Step 5: Solve for x
    x = 1,539,306,756/26,000
  6. Step 6: Final answer
    x = 59,204.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.