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Finding the Third Proportional to 13,658.06 and 27,817.31

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Solution

The third proportional to 13,658.06 and 27,817.31 is: 56,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.06 : 27,817.31 = 27,817.31 : x
  2. Step 2: Convert to fraction form
    13,658.06/27,817.31 = 27,817.31/x
  3. Step 3: Cross multiply
    13,658.06x = 27,817.31 × 27,817.31
  4. Step 4: Simplify right side
    13,658.06x = 773,802,874.72
  5. Step 5: Solve for x
    x = 773,802,874.72/13,658.06
  6. Step 6: Final answer
    x = 56,655.39

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.