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Finding the Third Proportional to 10,272 and 14,689

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Solution

The third proportional to 10,272 and 14,689 is: 21,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 14,689 = 14,689 : x
  2. Step 2: Convert to fraction form
    10,272/14,689 = 14,689/x
  3. Step 3: Cross multiply
    10,272x = 14,689 × 14,689
  4. Step 4: Simplify right side
    10,272x = 215,766,721
  5. Step 5: Solve for x
    x = 215,766,721/10,272
  6. Step 6: Final answer
    x = 21,005.33

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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.