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Finding the Third Proportional to 38,462.34 and 55,996.31

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Solution

The third proportional to 38,462.34 and 55,996.31 is: 81,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.34 : 55,996.31 = 55,996.31 : x
  2. Step 2: Convert to fraction form
    38,462.34/55,996.31 = 55,996.31/x
  3. Step 3: Cross multiply
    38,462.34x = 55,996.31 × 55,996.31
  4. Step 4: Simplify right side
    38,462.34x = 3,135,587,013.60
  5. Step 5: Solve for x
    x = 3,135,587,013.60/38,462.34
  6. Step 6: Final answer
    x = 81,523.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.