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Finding the Third Proportional to 13,728 and 20,178

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Solution

The third proportional to 13,728 and 20,178 is: 29,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728 : 20,178 = 20,178 : x
  2. Step 2: Convert to fraction form
    13,728/20,178 = 20,178/x
  3. Step 3: Cross multiply
    13,728x = 20,178 × 20,178
  4. Step 4: Simplify right side
    13,728x = 407,151,684
  5. Step 5: Solve for x
    x = 407,151,684/13,728
  6. Step 6: Final answer
    x = 29,658.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.