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Finding the Third Proportional to 28,684 and 44,326

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Solution

The third proportional to 28,684 and 44,326 is: 68,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,684 : 44,326 = 44,326 : x
  2. Step 2: Convert to fraction form
    28,684/44,326 = 44,326/x
  3. Step 3: Cross multiply
    28,684x = 44,326 × 44,326
  4. Step 4: Simplify right side
    28,684x = 1,964,794,276
  5. Step 5: Solve for x
    x = 1,964,794,276/28,684
  6. Step 6: Final answer
    x = 68,497.92

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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.