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Finding the Third Proportional to 9,213.50 and 19,741

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Solution

The third proportional to 9,213.50 and 19,741 is: 42,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.50 : 19,741 = 19,741 : x
  2. Step 2: Convert to fraction form
    9,213.50/19,741 = 19,741/x
  3. Step 3: Cross multiply
    9,213.50x = 19,741 × 19,741
  4. Step 4: Simplify right side
    9,213.50x = 389,707,081
  5. Step 5: Solve for x
    x = 389,707,081/9,213.50
  6. Step 6: Final answer
    x = 42,297.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.