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Finding the Third Proportional to 12,823 and 27,765

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Solution

The third proportional to 12,823 and 27,765 is: 60,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823 : 27,765 = 27,765 : x
  2. Step 2: Convert to fraction form
    12,823/27,765 = 27,765/x
  3. Step 3: Cross multiply
    12,823x = 27,765 × 27,765
  4. Step 4: Simplify right side
    12,823x = 770,895,225
  5. Step 5: Solve for x
    x = 770,895,225/12,823
  6. Step 6: Final answer
    x = 60,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.