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Finding the Third Proportional to 11,534.91 and 17,683.31

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Solution

The third proportional to 11,534.91 and 17,683.31 is: 27,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.91 : 17,683.31 = 17,683.31 : x
  2. Step 2: Convert to fraction form
    11,534.91/17,683.31 = 17,683.31/x
  3. Step 3: Cross multiply
    11,534.91x = 17,683.31 × 17,683.31
  4. Step 4: Simplify right side
    11,534.91x = 312,699,540.97
  5. Step 5: Solve for x
    x = 312,699,540.97/11,534.91
  6. Step 6: Final answer
    x = 27,108.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.