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Finding the Third Proportional to 14,276 and 20,406

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Solution

The third proportional to 14,276 and 20,406 is: 29,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276 : 20,406 = 20,406 : x
  2. Step 2: Convert to fraction form
    14,276/20,406 = 20,406/x
  3. Step 3: Cross multiply
    14,276x = 20,406 × 20,406
  4. Step 4: Simplify right side
    14,276x = 416,404,836
  5. Step 5: Solve for x
    x = 416,404,836/14,276
  6. Step 6: Final answer
    x = 29,168.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.