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Finding the Third Proportional to 27,662 and 39,765

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Solution

The third proportional to 27,662 and 39,765 is: 57,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662 : 39,765 = 39,765 : x
  2. Step 2: Convert to fraction form
    27,662/39,765 = 39,765/x
  3. Step 3: Cross multiply
    27,662x = 39,765 × 39,765
  4. Step 4: Simplify right side
    27,662x = 1,581,255,225
  5. Step 5: Solve for x
    x = 1,581,255,225/27,662
  6. Step 6: Final answer
    x = 57,163.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.