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Finding the Third Proportional to 20,742 and 44,796

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Solution

The third proportional to 20,742 and 44,796 is: 96,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 44,796 = 44,796 : x
  2. Step 2: Convert to fraction form
    20,742/44,796 = 44,796/x
  3. Step 3: Cross multiply
    20,742x = 44,796 × 44,796
  4. Step 4: Simplify right side
    20,742x = 2,006,681,616
  5. Step 5: Solve for x
    x = 2,006,681,616/20,742
  6. Step 6: Final answer
    x = 96,744.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.