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Finding the Third Proportional to 27,719.77 and 43,434.09

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Solution

The third proportional to 27,719.77 and 43,434.09 is: 68,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.77 : 43,434.09 = 43,434.09 : x
  2. Step 2: Convert to fraction form
    27,719.77/43,434.09 = 43,434.09/x
  3. Step 3: Cross multiply
    27,719.77x = 43,434.09 × 43,434.09
  4. Step 4: Simplify right side
    27,719.77x = 1,886,520,499.88
  5. Step 5: Solve for x
    x = 1,886,520,499.88/27,719.77
  6. Step 6: Final answer
    x = 68,056.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.