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Finding the Third Proportional to 7,213.50 and 11,193.75

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Solution

The third proportional to 7,213.50 and 11,193.75 is: 17,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.50 : 11,193.75 = 11,193.75 : x
  2. Step 2: Convert to fraction form
    7,213.50/11,193.75 = 11,193.75/x
  3. Step 3: Cross multiply
    7,213.50x = 11,193.75 × 11,193.75
  4. Step 4: Simplify right side
    7,213.50x = 125,300,039.06
  5. Step 5: Solve for x
    x = 125,300,039.06/7,213.50
  6. Step 6: Final answer
    x = 17,370.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.