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Finding the Third Proportional to 13,714.31 and 22,791.38

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Solution

The third proportional to 13,714.31 and 22,791.38 is: 37,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.31 : 22,791.38 = 22,791.38 : x
  2. Step 2: Convert to fraction form
    13,714.31/22,791.38 = 22,791.38/x
  3. Step 3: Cross multiply
    13,714.31x = 22,791.38 × 22,791.38
  4. Step 4: Simplify right side
    13,714.31x = 519,446,774.39
  5. Step 5: Solve for x
    x = 519,446,774.39/13,714.31
  6. Step 6: Final answer
    x = 37,876.25

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.