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Finding the Third Proportional to 9,713.25 and 20,175.75

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Solution

The third proportional to 9,713.25 and 20,175.75 is: 41,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.25 : 20,175.75 = 20,175.75 : x
  2. Step 2: Convert to fraction form
    9,713.25/20,175.75 = 20,175.75/x
  3. Step 3: Cross multiply
    9,713.25x = 20,175.75 × 20,175.75
  4. Step 4: Simplify right side
    9,713.25x = 407,060,888.06
  5. Step 5: Solve for x
    x = 407,060,888.06/9,713.25
  6. Step 6: Final answer
    x = 41,907.79

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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.