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Finding the Third Proportional to 11,197.50 and 17,120.25

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Solution

The third proportional to 11,197.50 and 17,120.25 is: 26,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.50 : 17,120.25 = 17,120.25 : x
  2. Step 2: Convert to fraction form
    11,197.50/17,120.25 = 17,120.25/x
  3. Step 3: Cross multiply
    11,197.50x = 17,120.25 × 17,120.25
  4. Step 4: Simplify right side
    11,197.50x = 293,102,960.06
  5. Step 5: Solve for x
    x = 293,102,960.06/11,197.50
  6. Step 6: Final answer
    x = 26,175.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.