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Finding the Third Proportional to 27,664.88 and 41,524.88

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Solution

The third proportional to 27,664.88 and 41,524.88 is: 62,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,664.88 : 41,524.88 = 41,524.88 : x
  2. Step 2: Convert to fraction form
    27,664.88/41,524.88 = 41,524.88/x
  3. Step 3: Cross multiply
    27,664.88x = 41,524.88 × 41,524.88
  4. Step 4: Simplify right side
    27,664.88x = 1,724,315,243.77
  5. Step 5: Solve for x
    x = 1,724,315,243.77/27,664.88
  6. Step 6: Final answer
    x = 62,328.68

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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.