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Finding the Third Proportional to 7,491.23 and 11,544.40

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Solution

The third proportional to 7,491.23 and 11,544.40 is: 17,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.23 : 11,544.40 = 11,544.40 : x
  2. Step 2: Convert to fraction form
    7,491.23/11,544.40 = 11,544.40/x
  3. Step 3: Cross multiply
    7,491.23x = 11,544.40 × 11,544.40
  4. Step 4: Simplify right side
    7,491.23x = 133,273,135.28
  5. Step 5: Solve for x
    x = 133,273,135.28/7,491.23
  6. Step 6: Final answer
    x = 17,790.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.