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Finding the Third Proportional to 6,028.17 and 13,223.57

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Solution

The third proportional to 6,028.17 and 13,223.57 is: 29,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.17 : 13,223.57 = 13,223.57 : x
  2. Step 2: Convert to fraction form
    6,028.17/13,223.57 = 13,223.57/x
  3. Step 3: Cross multiply
    6,028.17x = 13,223.57 × 13,223.57
  4. Step 4: Simplify right side
    6,028.17x = 174,862,708.50
  5. Step 5: Solve for x
    x = 174,862,708.50/6,028.17
  6. Step 6: Final answer
    x = 29,007.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.