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Finding the Third Proportional to 18,049 and 26,718

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Solution

The third proportional to 18,049 and 26,718 is: 39,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049 : 26,718 = 26,718 : x
  2. Step 2: Convert to fraction form
    18,049/26,718 = 26,718/x
  3. Step 3: Cross multiply
    18,049x = 26,718 × 26,718
  4. Step 4: Simplify right side
    18,049x = 713,851,524
  5. Step 5: Solve for x
    x = 713,851,524/18,049
  6. Step 6: Final answer
    x = 39,550.75

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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.