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Finding the Third Proportional to 14,277 and 21,969

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Solution

The third proportional to 14,277 and 21,969 is: 33,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277 : 21,969 = 21,969 : x
  2. Step 2: Convert to fraction form
    14,277/21,969 = 21,969/x
  3. Step 3: Cross multiply
    14,277x = 21,969 × 21,969
  4. Step 4: Simplify right side
    14,277x = 482,636,961
  5. Step 5: Solve for x
    x = 482,636,961/14,277
  6. Step 6: Final answer
    x = 33,805.21

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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.