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Finding the Third Proportional to 7,342.31 and 11,185.59

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Solution

The third proportional to 7,342.31 and 11,185.59 is: 17,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.31 : 11,185.59 = 11,185.59 : x
  2. Step 2: Convert to fraction form
    7,342.31/11,185.59 = 11,185.59/x
  3. Step 3: Cross multiply
    7,342.31x = 11,185.59 × 11,185.59
  4. Step 4: Simplify right side
    7,342.31x = 125,117,507.54
  5. Step 5: Solve for x
    x = 125,117,507.54/7,342.31
  6. Step 6: Final answer
    x = 17,040.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.