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Finding the Third Proportional to 8,251.88 and 11,820.94

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Solution

The third proportional to 8,251.88 and 11,820.94 is: 16,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.88 : 11,820.94 = 11,820.94 : x
  2. Step 2: Convert to fraction form
    8,251.88/11,820.94 = 11,820.94/x
  3. Step 3: Cross multiply
    8,251.88x = 11,820.94 × 11,820.94
  4. Step 4: Simplify right side
    8,251.88x = 139,734,563.38
  5. Step 5: Solve for x
    x = 139,734,563.38/8,251.88
  6. Step 6: Final answer
    x = 16,933.67

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1.5x scale

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.