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Finding the Third Proportional to 7,855.50 and 11,197

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Solution

The third proportional to 7,855.50 and 11,197 is: 15,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.50 : 11,197 = 11,197 : x
  2. Step 2: Convert to fraction form
    7,855.50/11,197 = 11,197/x
  3. Step 3: Cross multiply
    7,855.50x = 11,197 × 11,197
  4. Step 4: Simplify right side
    7,855.50x = 125,372,809
  5. Step 5: Solve for x
    x = 125,372,809/7,855.50
  6. Step 6: Final answer
    x = 15,959.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.