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Finding the Third Proportional to 27,666 and 38,826

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Solution

The third proportional to 27,666 and 38,826 is: 54,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666 : 38,826 = 38,826 : x
  2. Step 2: Convert to fraction form
    27,666/38,826 = 38,826/x
  3. Step 3: Cross multiply
    27,666x = 38,826 × 38,826
  4. Step 4: Simplify right side
    27,666x = 1,507,458,276
  5. Step 5: Solve for x
    x = 1,507,458,276/27,666
  6. Step 6: Final answer
    x = 54,487.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.