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Finding the Third Proportional to 5,701.50 and 13,349.25

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Solution

The third proportional to 5,701.50 and 13,349.25 is: 31,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.50 : 13,349.25 = 13,349.25 : x
  2. Step 2: Convert to fraction form
    5,701.50/13,349.25 = 13,349.25/x
  3. Step 3: Cross multiply
    5,701.50x = 13,349.25 × 13,349.25
  4. Step 4: Simplify right side
    5,701.50x = 178,202,475.56
  5. Step 5: Solve for x
    x = 178,202,475.56/5,701.50
  6. Step 6: Final answer
    x = 31,255.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.