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Finding the Third Proportional to 9,383.34 and 20,389.22

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Solution

The third proportional to 9,383.34 and 20,389.22 is: 44,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.34 : 20,389.22 = 20,389.22 : x
  2. Step 2: Convert to fraction form
    9,383.34/20,389.22 = 20,389.22/x
  3. Step 3: Cross multiply
    9,383.34x = 20,389.22 × 20,389.22
  4. Step 4: Simplify right side
    9,383.34x = 415,720,241.24
  5. Step 5: Solve for x
    x = 415,720,241.24/9,383.34
  6. Step 6: Final answer
    x = 44,304.06

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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.