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Finding the Third Proportional to 19,728 and 42,739

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Solution

The third proportional to 19,728 and 42,739 is: 92,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 42,739 = 42,739 : x
  2. Step 2: Convert to fraction form
    19,728/42,739 = 42,739/x
  3. Step 3: Cross multiply
    19,728x = 42,739 × 42,739
  4. Step 4: Simplify right side
    19,728x = 1,826,622,121
  5. Step 5: Solve for x
    x = 1,826,622,121/19,728
  6. Step 6: Final answer
    x = 92,590.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.