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Finding the Third Proportional to 7,330.67 and 10,379.71

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Solution

The third proportional to 7,330.67 and 10,379.71 is: 14,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.67 : 10,379.71 = 10,379.71 : x
  2. Step 2: Convert to fraction form
    7,330.67/10,379.71 = 10,379.71/x
  3. Step 3: Cross multiply
    7,330.67x = 10,379.71 × 10,379.71
  4. Step 4: Simplify right side
    7,330.67x = 107,738,318.05
  5. Step 5: Solve for x
    x = 107,738,318.05/7,330.67
  6. Step 6: Final answer
    x = 14,696.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.