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Finding the Third Proportional to 26,842 and 62,393

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Solution

The third proportional to 26,842 and 62,393 is: 145,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842 : 62,393 = 62,393 : x
  2. Step 2: Convert to fraction form
    26,842/62,393 = 62,393/x
  3. Step 3: Cross multiply
    26,842x = 62,393 × 62,393
  4. Step 4: Simplify right side
    26,842x = 3,892,886,449
  5. Step 5: Solve for x
    x = 3,892,886,449/26,842
  6. Step 6: Final answer
    x = 145,029.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.