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Finding the Third Proportional to 27,692 and 41,826

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Solution

The third proportional to 27,692 and 41,826 is: 63,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692 : 41,826 = 41,826 : x
  2. Step 2: Convert to fraction form
    27,692/41,826 = 41,826/x
  3. Step 3: Cross multiply
    27,692x = 41,826 × 41,826
  4. Step 4: Simplify right side
    27,692x = 1,749,414,276
  5. Step 5: Solve for x
    x = 1,749,414,276/27,692
  6. Step 6: Final answer
    x = 63,174.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.