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Finding the Third Proportional to 7,936.50 and 18,800.25

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Solution

The third proportional to 7,936.50 and 18,800.25 is: 44,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.50 : 18,800.25 = 18,800.25 : x
  2. Step 2: Convert to fraction form
    7,936.50/18,800.25 = 18,800.25/x
  3. Step 3: Cross multiply
    7,936.50x = 18,800.25 × 18,800.25
  4. Step 4: Simplify right side
    7,936.50x = 353,449,400.06
  5. Step 5: Solve for x
    x = 353,449,400.06/7,936.50
  6. Step 6: Final answer
    x = 44,534.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.