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Finding the Third Proportional to 27,658.69 and 41,515.03

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Solution

The third proportional to 27,658.69 and 41,515.03 is: 62,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.69 : 41,515.03 = 41,515.03 : x
  2. Step 2: Convert to fraction form
    27,658.69/41,515.03 = 41,515.03/x
  3. Step 3: Cross multiply
    27,658.69x = 41,515.03 × 41,515.03
  4. Step 4: Simplify right side
    27,658.69x = 1,723,497,819.69
  5. Step 5: Solve for x
    x = 1,723,497,819.69/27,658.69
  6. Step 6: Final answer
    x = 62,313.07

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