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Finding the Third Proportional to 6,046.31 and 13,128.75

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Solution

The third proportional to 6,046.31 and 13,128.75 is: 28,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.31 : 13,128.75 = 13,128.75 : x
  2. Step 2: Convert to fraction form
    6,046.31/13,128.75 = 13,128.75/x
  3. Step 3: Cross multiply
    6,046.31x = 13,128.75 × 13,128.75
  4. Step 4: Simplify right side
    6,046.31x = 172,364,076.56
  5. Step 5: Solve for x
    x = 172,364,076.56/6,046.31
  6. Step 6: Final answer
    x = 28,507.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.