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Finding the Third Proportional to 18,237 and 28,569

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Solution

The third proportional to 18,237 and 28,569 is: 44,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237 : 28,569 = 28,569 : x
  2. Step 2: Convert to fraction form
    18,237/28,569 = 28,569/x
  3. Step 3: Cross multiply
    18,237x = 28,569 × 28,569
  4. Step 4: Simplify right side
    18,237x = 816,187,761
  5. Step 5: Solve for x
    x = 816,187,761/18,237
  6. Step 6: Final answer
    x = 44,754.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.