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Finding the Third Proportional to 8,241.75 and 19,450.13

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Solution

The third proportional to 8,241.75 and 19,450.13 is: 45,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 19,450.13 = 19,450.13 : x
  2. Step 2: Convert to fraction form
    8,241.75/19,450.13 = 19,450.13/x
  3. Step 3: Cross multiply
    8,241.75x = 19,450.13 × 19,450.13
  4. Step 4: Simplify right side
    8,241.75x = 378,307,362.52
  5. Step 5: Solve for x
    x = 378,307,362.52/8,241.75
  6. Step 6: Final answer
    x = 45,901.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.