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Finding the Third Proportional to 16,767 and 21,927

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Solution

The third proportional to 16,767 and 21,927 is: 28,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 21,927 = 21,927 : x
  2. Step 2: Convert to fraction form
    16,767/21,927 = 21,927/x
  3. Step 3: Cross multiply
    16,767x = 21,927 × 21,927
  4. Step 4: Simplify right side
    16,767x = 480,793,329
  5. Step 5: Solve for x
    x = 480,793,329/16,767
  6. Step 6: Final answer
    x = 28,674.98

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.