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Finding the Third Proportional to 9,161.25 and 19,968.47

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Solution

The third proportional to 9,161.25 and 19,968.47 is: 43,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.25 : 19,968.47 = 19,968.47 : x
  2. Step 2: Convert to fraction form
    9,161.25/19,968.47 = 19,968.47/x
  3. Step 3: Cross multiply
    9,161.25x = 19,968.47 × 19,968.47
  4. Step 4: Simplify right side
    9,161.25x = 398,739,744.22
  5. Step 5: Solve for x
    x = 398,739,744.22/9,161.25
  6. Step 6: Final answer
    x = 43,524.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.