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Finding the Third Proportional to 7,573.50 and 11,724.75

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Solution

The third proportional to 7,573.50 and 11,724.75 is: 18,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 11,724.75 = 11,724.75 : x
  2. Step 2: Convert to fraction form
    7,573.50/11,724.75 = 11,724.75/x
  3. Step 3: Cross multiply
    7,573.50x = 11,724.75 × 11,724.75
  4. Step 4: Simplify right side
    7,573.50x = 137,469,762.56
  5. Step 5: Solve for x
    x = 137,469,762.56/7,573.50
  6. Step 6: Final answer
    x = 18,151.42

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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.