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Finding the Third Proportional to 28,704 and 44,356

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Solution

The third proportional to 28,704 and 44,356 is: 68,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,704 : 44,356 = 44,356 : x
  2. Step 2: Convert to fraction form
    28,704/44,356 = 44,356/x
  3. Step 3: Cross multiply
    28,704x = 44,356 × 44,356
  4. Step 4: Simplify right side
    28,704x = 1,967,454,736
  5. Step 5: Solve for x
    x = 1,967,454,736/28,704
  6. Step 6: Final answer
    x = 68,542.88

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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.