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Finding the Third Proportional to 7,968.38 and 17,544.38

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Solution

The third proportional to 7,968.38 and 17,544.38 is: 38,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.38 : 17,544.38 = 17,544.38 : x
  2. Step 2: Convert to fraction form
    7,968.38/17,544.38 = 17,544.38/x
  3. Step 3: Cross multiply
    7,968.38x = 17,544.38 × 17,544.38
  4. Step 4: Simplify right side
    7,968.38x = 307,805,094.14
  5. Step 5: Solve for x
    x = 307,805,094.14/7,968.38
  6. Step 6: Final answer
    x = 38,628.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.