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Finding the Third Proportional to 26,328 and 59,234

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Solution

The third proportional to 26,328 and 59,234 is: 133,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,328 : 59,234 = 59,234 : x
  2. Step 2: Convert to fraction form
    26,328/59,234 = 59,234/x
  3. Step 3: Cross multiply
    26,328x = 59,234 × 59,234
  4. Step 4: Simplify right side
    26,328x = 3,508,666,756
  5. Step 5: Solve for x
    x = 3,508,666,756/26,328
  6. Step 6: Final answer
    x = 133,267.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.