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Finding the Third Proportional to 10,221.19 and 20,784.09

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Solution

The third proportional to 10,221.19 and 20,784.09 is: 42,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 20,784.09 = 20,784.09 : x
  2. Step 2: Convert to fraction form
    10,221.19/20,784.09 = 20,784.09/x
  3. Step 3: Cross multiply
    10,221.19x = 20,784.09 × 20,784.09
  4. Step 4: Simplify right side
    10,221.19x = 431,978,553.01
  5. Step 5: Solve for x
    x = 431,978,553.01/10,221.19
  6. Step 6: Final answer
    x = 42,263.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.