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Finding the Third Proportional to 9,186.75 and 18,555.75

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Solution

The third proportional to 9,186.75 and 18,555.75 is: 37,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 18,555.75 = 18,555.75 : x
  2. Step 2: Convert to fraction form
    9,186.75/18,555.75 = 18,555.75/x
  3. Step 3: Cross multiply
    9,186.75x = 18,555.75 × 18,555.75
  4. Step 4: Simplify right side
    9,186.75x = 344,315,858.06
  5. Step 5: Solve for x
    x = 344,315,858.06/9,186.75
  6. Step 6: Final answer
    x = 37,479.62

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.