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Finding the Third Proportional to 9,412.45 and 19,604.53

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Solution

The third proportional to 9,412.45 and 19,604.53 is: 40,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.45 : 19,604.53 = 19,604.53 : x
  2. Step 2: Convert to fraction form
    9,412.45/19,604.53 = 19,604.53/x
  3. Step 3: Cross multiply
    9,412.45x = 19,604.53 × 19,604.53
  4. Step 4: Simplify right side
    9,412.45x = 384,337,645.53
  5. Step 5: Solve for x
    x = 384,337,645.53/9,412.45
  6. Step 6: Final answer
    x = 40,832.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.