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Finding the Third Proportional to 6,128.78 and 13,229.56

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Solution

The third proportional to 6,128.78 and 13,229.56 is: 28,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.78 : 13,229.56 = 13,229.56 : x
  2. Step 2: Convert to fraction form
    6,128.78/13,229.56 = 13,229.56/x
  3. Step 3: Cross multiply
    6,128.78x = 13,229.56 × 13,229.56
  4. Step 4: Simplify right side
    6,128.78x = 175,021,323.94
  5. Step 5: Solve for x
    x = 175,021,323.94/6,128.78
  6. Step 6: Final answer
    x = 28,557.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.