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Finding the Third Proportional to 14,286 and 21,972

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Solution

The third proportional to 14,286 and 21,972 is: 33,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 21,972 = 21,972 : x
  2. Step 2: Convert to fraction form
    14,286/21,972 = 21,972/x
  3. Step 3: Cross multiply
    14,286x = 21,972 × 21,972
  4. Step 4: Simplify right side
    14,286x = 482,768,784
  5. Step 5: Solve for x
    x = 482,768,784/14,286
  6. Step 6: Final answer
    x = 33,793.14

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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.