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Finding the Third Proportional to 20,784 and 45,296

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Solution

The third proportional to 20,784 and 45,296 is: 98,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 45,296 = 45,296 : x
  2. Step 2: Convert to fraction form
    20,784/45,296 = 45,296/x
  3. Step 3: Cross multiply
    20,784x = 45,296 × 45,296
  4. Step 4: Simplify right side
    20,784x = 2,051,727,616
  5. Step 5: Solve for x
    x = 2,051,727,616/20,784
  6. Step 6: Final answer
    x = 98,716.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.