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Finding the Third Proportional to 18,066 and 26,826

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Solution

The third proportional to 18,066 and 26,826 is: 39,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,066 : 26,826 = 26,826 : x
  2. Step 2: Convert to fraction form
    18,066/26,826 = 26,826/x
  3. Step 3: Cross multiply
    18,066x = 26,826 × 26,826
  4. Step 4: Simplify right side
    18,066x = 719,634,276
  5. Step 5: Solve for x
    x = 719,634,276/18,066
  6. Step 6: Final answer
    x = 39,833.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.