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Finding the Third Proportional to 4,065.19 and 7,576.03

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Solution

The third proportional to 4,065.19 and 7,576.03 is: 14,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.19 : 7,576.03 = 7,576.03 : x
  2. Step 2: Convert to fraction form
    4,065.19/7,576.03 = 7,576.03/x
  3. Step 3: Cross multiply
    4,065.19x = 7,576.03 × 7,576.03
  4. Step 4: Simplify right side
    4,065.19x = 57,396,249.50
  5. Step 5: Solve for x
    x = 57,396,249.50/4,065.19
  6. Step 6: Final answer
    x = 14,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.