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Finding the Third Proportional to 28,980 and 44,077

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Solution

The third proportional to 28,980 and 44,077 is: 67,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,980 : 44,077 = 44,077 : x
  2. Step 2: Convert to fraction form
    28,980/44,077 = 44,077/x
  3. Step 3: Cross multiply
    28,980x = 44,077 × 44,077
  4. Step 4: Simplify right side
    28,980x = 1,942,781,929
  5. Step 5: Solve for x
    x = 1,942,781,929/28,980
  6. Step 6: Final answer
    x = 67,038.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.