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Finding the Third Proportional to 7,401.38 and 11,079.56

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Solution

The third proportional to 7,401.38 and 11,079.56 is: 16,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.38 : 11,079.56 = 11,079.56 : x
  2. Step 2: Convert to fraction form
    7,401.38/11,079.56 = 11,079.56/x
  3. Step 3: Cross multiply
    7,401.38x = 11,079.56 × 11,079.56
  4. Step 4: Simplify right side
    7,401.38x = 122,756,705.19
  5. Step 5: Solve for x
    x = 122,756,705.19/7,401.38
  6. Step 6: Final answer
    x = 16,585.66

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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.