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Finding the Third Proportional to 8,573.81 and 11,379.38

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Solution

The third proportional to 8,573.81 and 11,379.38 is: 15,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.81 : 11,379.38 = 11,379.38 : x
  2. Step 2: Convert to fraction form
    8,573.81/11,379.38 = 11,379.38/x
  3. Step 3: Cross multiply
    8,573.81x = 11,379.38 × 11,379.38
  4. Step 4: Simplify right side
    8,573.81x = 129,490,175.39
  5. Step 5: Solve for x
    x = 129,490,175.39/8,573.81
  6. Step 6: Final answer
    x = 15,102.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.