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Finding the Third Proportional to 7,352.44 and 17,353.97

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Solution

The third proportional to 7,352.44 and 17,353.97 is: 40,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.44 : 17,353.97 = 17,353.97 : x
  2. Step 2: Convert to fraction form
    7,352.44/17,353.97 = 17,353.97/x
  3. Step 3: Cross multiply
    7,352.44x = 17,353.97 × 17,353.97
  4. Step 4: Simplify right side
    7,352.44x = 301,160,231.38
  5. Step 5: Solve for x
    x = 301,160,231.38/7,352.44
  6. Step 6: Final answer
    x = 40,960.60

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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.