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Finding the Third Proportional to 5,158.69 and 6,576.19

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Solution

The third proportional to 5,158.69 and 6,576.19 is: 8,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.69 : 6,576.19 = 6,576.19 : x
  2. Step 2: Convert to fraction form
    5,158.69/6,576.19 = 6,576.19/x
  3. Step 3: Cross multiply
    5,158.69x = 6,576.19 × 6,576.19
  4. Step 4: Simplify right side
    5,158.69x = 43,246,242.04
  5. Step 5: Solve for x
    x = 43,246,242.04/5,158.69
  6. Step 6: Final answer
    x = 8,383.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.