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Finding the Third Proportional to 8,434.05 and 19,524.96

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Solution

The third proportional to 8,434.05 and 19,524.96 is: 45,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.05 : 19,524.96 = 19,524.96 : x
  2. Step 2: Convert to fraction form
    8,434.05/19,524.96 = 19,524.96/x
  3. Step 3: Cross multiply
    8,434.05x = 19,524.96 × 19,524.96
  4. Step 4: Simplify right side
    8,434.05x = 381,223,870.80
  5. Step 5: Solve for x
    x = 381,223,870.80/8,434.05
  6. Step 6: Final answer
    x = 45,200.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.