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Finding the Third Proportional to 16,156 and 21,823

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Solution

The third proportional to 16,156 and 21,823 is: 29,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156 : 21,823 = 21,823 : x
  2. Step 2: Convert to fraction form
    16,156/21,823 = 21,823/x
  3. Step 3: Cross multiply
    16,156x = 21,823 × 21,823
  4. Step 4: Simplify right side
    16,156x = 476,243,329
  5. Step 5: Solve for x
    x = 476,243,329/16,156
  6. Step 6: Final answer
    x = 29,477.80

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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.