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Finding the Third Proportional to 27,564.68 and 41,238.49

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Solution

The third proportional to 27,564.68 and 41,238.49 is: 61,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.68 : 41,238.49 = 41,238.49 : x
  2. Step 2: Convert to fraction form
    27,564.68/41,238.49 = 41,238.49/x
  3. Step 3: Cross multiply
    27,564.68x = 41,238.49 × 41,238.49
  4. Step 4: Simplify right side
    27,564.68x = 1,700,613,237.90
  5. Step 5: Solve for x
    x = 1,700,613,237.90/27,564.68
  6. Step 6: Final answer
    x = 61,695.37

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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.