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Finding the Third Proportional to 16,796 and 22,278

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Solution

The third proportional to 16,796 and 22,278 is: 29,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796 : 22,278 = 22,278 : x
  2. Step 2: Convert to fraction form
    16,796/22,278 = 22,278/x
  3. Step 3: Cross multiply
    16,796x = 22,278 × 22,278
  4. Step 4: Simplify right side
    16,796x = 496,309,284
  5. Step 5: Solve for x
    x = 496,309,284/16,796
  6. Step 6: Final answer
    x = 29,549.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.