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Finding the Third Proportional to 27,076.50 and 40,732.88

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Solution

The third proportional to 27,076.50 and 40,732.88 is: 61,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,076.50 : 40,732.88 = 40,732.88 : x
  2. Step 2: Convert to fraction form
    27,076.50/40,732.88 = 40,732.88/x
  3. Step 3: Cross multiply
    27,076.50x = 40,732.88 × 40,732.88
  4. Step 4: Simplify right side
    27,076.50x = 1,659,167,105.77
  5. Step 5: Solve for x
    x = 1,659,167,105.77/27,076.50
  6. Step 6: Final answer
    x = 61,277.02

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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.