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Finding the Third Proportional to 9,261.75 and 18,057.38

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Solution

The third proportional to 9,261.75 and 18,057.38 is: 35,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.75 : 18,057.38 = 18,057.38 : x
  2. Step 2: Convert to fraction form
    9,261.75/18,057.38 = 18,057.38/x
  3. Step 3: Cross multiply
    9,261.75x = 18,057.38 × 18,057.38
  4. Step 4: Simplify right side
    9,261.75x = 326,068,791.89
  5. Step 5: Solve for x
    x = 326,068,791.89/9,261.75
  6. Step 6: Final answer
    x = 35,205.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.