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Finding the Third Proportional to 16,106 and 21,673

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Solution

The third proportional to 16,106 and 21,673 is: 29,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106 : 21,673 = 21,673 : x
  2. Step 2: Convert to fraction form
    16,106/21,673 = 21,673/x
  3. Step 3: Cross multiply
    16,106x = 21,673 × 21,673
  4. Step 4: Simplify right side
    16,106x = 469,718,929
  5. Step 5: Solve for x
    x = 469,718,929/16,106
  6. Step 6: Final answer
    x = 29,164.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.