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Finding the Third Proportional to 5,629.50 and 13,033.13

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Solution

The third proportional to 5,629.50 and 13,033.13 is: 30,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.50 : 13,033.13 = 13,033.13 : x
  2. Step 2: Convert to fraction form
    5,629.50/13,033.13 = 13,033.13/x
  3. Step 3: Cross multiply
    5,629.50x = 13,033.13 × 13,033.13
  4. Step 4: Simplify right side
    5,629.50x = 169,862,347.27
  5. Step 5: Solve for x
    x = 169,862,347.27/5,629.50
  6. Step 6: Final answer
    x = 30,173.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.