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Finding the Third Proportional to 5,764.50 and 13,969.13

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Solution

The third proportional to 5,764.50 and 13,969.13 is: 33,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.50 : 13,969.13 = 13,969.13 : x
  2. Step 2: Convert to fraction form
    5,764.50/13,969.13 = 13,969.13/x
  3. Step 3: Cross multiply
    5,764.50x = 13,969.13 × 13,969.13
  4. Step 4: Simplify right side
    5,764.50x = 195,136,453.27
  5. Step 5: Solve for x
    x = 195,136,453.27/5,764.50
  6. Step 6: Final answer
    x = 33,851.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.