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Finding the Third Proportional to 6,262.31 and 13,342.22

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Solution

The third proportional to 6,262.31 and 13,342.22 is: 28,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.31 : 13,342.22 = 13,342.22 : x
  2. Step 2: Convert to fraction form
    6,262.31/13,342.22 = 13,342.22/x
  3. Step 3: Cross multiply
    6,262.31x = 13,342.22 × 13,342.22
  4. Step 4: Simplify right side
    6,262.31x = 178,014,801.17
  5. Step 5: Solve for x
    x = 178,014,801.17/6,262.31
  6. Step 6: Final answer
    x = 28,426.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.