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Finding the Third Proportional to 5,617.69 and 13,231.69

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Solution

The third proportional to 5,617.69 and 13,231.69 is: 31,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.69 : 13,231.69 = 13,231.69 : x
  2. Step 2: Convert to fraction form
    5,617.69/13,231.69 = 13,231.69/x
  3. Step 3: Cross multiply
    5,617.69x = 13,231.69 × 13,231.69
  4. Step 4: Simplify right side
    5,617.69x = 175,077,554.10
  5. Step 5: Solve for x
    x = 175,077,554.10/5,617.69
  6. Step 6: Final answer
    x = 31,165.41

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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.