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Finding the Third Proportional to 27,744 and 61,203

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Solution

The third proportional to 27,744 and 61,203 is: 135,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 61,203 = 61,203 : x
  2. Step 2: Convert to fraction form
    27,744/61,203 = 61,203/x
  3. Step 3: Cross multiply
    27,744x = 61,203 × 61,203
  4. Step 4: Simplify right side
    27,744x = 3,745,807,209
  5. Step 5: Solve for x
    x = 3,745,807,209/27,744
  6. Step 6: Final answer
    x = 135,013.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.