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Finding the Third Proportional to 27,716.63 and 41,532.19

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Solution

The third proportional to 27,716.63 and 41,532.19 is: 62,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.63 : 41,532.19 = 41,532.19 : x
  2. Step 2: Convert to fraction form
    27,716.63/41,532.19 = 41,532.19/x
  3. Step 3: Cross multiply
    27,716.63x = 41,532.19 × 41,532.19
  4. Step 4: Simplify right side
    27,716.63x = 1,724,922,598.54
  5. Step 5: Solve for x
    x = 1,724,922,598.54/27,716.63
  6. Step 6: Final answer
    x = 62,234.22

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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.