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Finding the Third Proportional to 28,256 and 44,736

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Solution

The third proportional to 28,256 and 44,736 is: 70,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,256 : 44,736 = 44,736 : x
  2. Step 2: Convert to fraction form
    28,256/44,736 = 44,736/x
  3. Step 3: Cross multiply
    28,256x = 44,736 × 44,736
  4. Step 4: Simplify right side
    28,256x = 2,001,309,696
  5. Step 5: Solve for x
    x = 2,001,309,696/28,256
  6. Step 6: Final answer
    x = 70,827.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.