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Finding the Third Proportional to 6,316.31 and 9,667.69

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Solution

The third proportional to 6,316.31 and 9,667.69 is: 14,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.31 : 9,667.69 = 9,667.69 : x
  2. Step 2: Convert to fraction form
    6,316.31/9,667.69 = 9,667.69/x
  3. Step 3: Cross multiply
    6,316.31x = 9,667.69 × 9,667.69
  4. Step 4: Simplify right side
    6,316.31x = 93,464,181.60
  5. Step 5: Solve for x
    x = 93,464,181.60/6,316.31
  6. Step 6: Final answer
    x = 14,797.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.