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Finding the Third Proportional to 27,441.50 and 40,186.50

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Solution

The third proportional to 27,441.50 and 40,186.50 is: 58,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.50 : 40,186.50 = 40,186.50 : x
  2. Step 2: Convert to fraction form
    27,441.50/40,186.50 = 40,186.50/x
  3. Step 3: Cross multiply
    27,441.50x = 40,186.50 × 40,186.50
  4. Step 4: Simplify right side
    27,441.50x = 1,614,954,782.25
  5. Step 5: Solve for x
    x = 1,614,954,782.25/27,441.50
  6. Step 6: Final answer
    x = 58,850.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.