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Finding the Third Proportional to 7,414.03 and 11,090.67

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Solution

The third proportional to 7,414.03 and 11,090.67 is: 16,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.03 : 11,090.67 = 11,090.67 : x
  2. Step 2: Convert to fraction form
    7,414.03/11,090.67 = 11,090.67/x
  3. Step 3: Cross multiply
    7,414.03x = 11,090.67 × 11,090.67
  4. Step 4: Simplify right side
    7,414.03x = 123,003,002.64
  5. Step 5: Solve for x
    x = 123,003,002.64/7,414.03
  6. Step 6: Final answer
    x = 16,590.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.