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Finding the Third Proportional to 28,704 and 44,756

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Solution

The third proportional to 28,704 and 44,756 is: 69,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,704 : 44,756 = 44,756 : x
  2. Step 2: Convert to fraction form
    28,704/44,756 = 44,756/x
  3. Step 3: Cross multiply
    28,704x = 44,756 × 44,756
  4. Step 4: Simplify right side
    28,704x = 2,003,099,536
  5. Step 5: Solve for x
    x = 2,003,099,536/28,704
  6. Step 6: Final answer
    x = 69,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.