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Finding the Third Proportional to 18,338 and 28,601

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Solution

The third proportional to 18,338 and 28,601 is: 44,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,338 : 28,601 = 28,601 : x
  2. Step 2: Convert to fraction form
    18,338/28,601 = 28,601/x
  3. Step 3: Cross multiply
    18,338x = 28,601 × 28,601
  4. Step 4: Simplify right side
    18,338x = 818,017,201
  5. Step 5: Solve for x
    x = 818,017,201/18,338
  6. Step 6: Final answer
    x = 44,607.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.