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Finding the Third Proportional to 16,147 and 21,916.50

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Solution

The third proportional to 16,147 and 21,916.50 is: 29,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147 : 21,916.50 = 21,916.50 : x
  2. Step 2: Convert to fraction form
    16,147/21,916.50 = 21,916.50/x
  3. Step 3: Cross multiply
    16,147x = 21,916.50 × 21,916.50
  4. Step 4: Simplify right side
    16,147x = 480,332,972.25
  5. Step 5: Solve for x
    x = 480,332,972.25/16,147
  6. Step 6: Final answer
    x = 29,747.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.