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Finding the Third Proportional to 21,366 and 28,569

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Solution

The third proportional to 21,366 and 28,569 is: 38,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366 : 28,569 = 28,569 : x
  2. Step 2: Convert to fraction form
    21,366/28,569 = 28,569/x
  3. Step 3: Cross multiply
    21,366x = 28,569 × 28,569
  4. Step 4: Simplify right side
    21,366x = 816,187,761
  5. Step 5: Solve for x
    x = 816,187,761/21,366
  6. Step 6: Final answer
    x = 38,200.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.