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Finding the Third Proportional to 20,784 and 44,546

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Solution

The third proportional to 20,784 and 44,546 is: 95,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 44,546 = 44,546 : x
  2. Step 2: Convert to fraction form
    20,784/44,546 = 44,546/x
  3. Step 3: Cross multiply
    20,784x = 44,546 × 44,546
  4. Step 4: Simplify right side
    20,784x = 1,984,346,116
  5. Step 5: Solve for x
    x = 1,984,346,116/20,784
  6. Step 6: Final answer
    x = 95,474.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.