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Finding the Third Proportional to 14,282 and 21,966

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Solution

The third proportional to 14,282 and 21,966 is: 33,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 21,966 = 21,966 : x
  2. Step 2: Convert to fraction form
    14,282/21,966 = 21,966/x
  3. Step 3: Cross multiply
    14,282x = 21,966 × 21,966
  4. Step 4: Simplify right side
    14,282x = 482,505,156
  5. Step 5: Solve for x
    x = 482,505,156/14,282
  6. Step 6: Final answer
    x = 33,784.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.