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Finding the Third Proportional to 26,811 and 62,334

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Solution

The third proportional to 26,811 and 62,334 is: 144,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811 : 62,334 = 62,334 : x
  2. Step 2: Convert to fraction form
    26,811/62,334 = 62,334/x
  3. Step 3: Cross multiply
    26,811x = 62,334 × 62,334
  4. Step 4: Simplify right side
    26,811x = 3,885,527,556
  5. Step 5: Solve for x
    x = 3,885,527,556/26,811
  6. Step 6: Final answer
    x = 144,922.89

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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.