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Finding the Third Proportional to 13,213.50 and 17,615.25

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Solution

The third proportional to 13,213.50 and 17,615.25 is: 23,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.50 : 17,615.25 = 17,615.25 : x
  2. Step 2: Convert to fraction form
    13,213.50/17,615.25 = 17,615.25/x
  3. Step 3: Cross multiply
    13,213.50x = 17,615.25 × 17,615.25
  4. Step 4: Simplify right side
    13,213.50x = 310,297,032.56
  5. Step 5: Solve for x
    x = 310,297,032.56/13,213.50
  6. Step 6: Final answer
    x = 23,483.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.