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Finding the Third Proportional to 18,584 and 28,744

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Solution

The third proportional to 18,584 and 28,744 is: 44,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584 : 28,744 = 28,744 : x
  2. Step 2: Convert to fraction form
    18,584/28,744 = 28,744/x
  3. Step 3: Cross multiply
    18,584x = 28,744 × 28,744
  4. Step 4: Simplify right side
    18,584x = 826,217,536
  5. Step 5: Solve for x
    x = 826,217,536/18,584
  6. Step 6: Final answer
    x = 44,458.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.