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Finding the Third Proportional to 13,772 and 14,906

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Solution

The third proportional to 13,772 and 14,906 is: 16,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 14,906 = 14,906 : x
  2. Step 2: Convert to fraction form
    13,772/14,906 = 14,906/x
  3. Step 3: Cross multiply
    13,772x = 14,906 × 14,906
  4. Step 4: Simplify right side
    13,772x = 222,188,836
  5. Step 5: Solve for x
    x = 222,188,836/13,772
  6. Step 6: Final answer
    x = 16,133.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.