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Finding the Third Proportional to 18,584 and 28,794

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Solution

The third proportional to 18,584 and 28,794 is: 44,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584 : 28,794 = 28,794 : x
  2. Step 2: Convert to fraction form
    18,584/28,794 = 28,794/x
  3. Step 3: Cross multiply
    18,584x = 28,794 × 28,794
  4. Step 4: Simplify right side
    18,584x = 829,094,436
  5. Step 5: Solve for x
    x = 829,094,436/18,584
  6. Step 6: Final answer
    x = 44,613.35

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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.