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Finding the Third Proportional to 4,076.58 and 5,995.27

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Solution

The third proportional to 4,076.58 and 5,995.27 is: 8,817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.58 : 5,995.27 = 5,995.27 : x
  2. Step 2: Convert to fraction form
    4,076.58/5,995.27 = 5,995.27/x
  3. Step 3: Cross multiply
    4,076.58x = 5,995.27 × 5,995.27
  4. Step 4: Simplify right side
    4,076.58x = 35,943,209.91
  5. Step 5: Solve for x
    x = 35,943,209.91/4,076.58
  6. Step 6: Final answer
    x = 8,817.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.