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Finding the Third Proportional to 2,317.68 and 5,469.08

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Solution

The third proportional to 2,317.68 and 5,469.08 is: 12,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.68 : 5,469.08 = 5,469.08 : x
  2. Step 2: Convert to fraction form
    2,317.68/5,469.08 = 5,469.08/x
  3. Step 3: Cross multiply
    2,317.68x = 5,469.08 × 5,469.08
  4. Step 4: Simplify right side
    2,317.68x = 29,910,858.26
  5. Step 5: Solve for x
    x = 29,910,858.26/2,317.68
  6. Step 6: Final answer
    x = 12,905.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.