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Finding the Third Proportional to 17,926.31 and 38,191.50

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Solution

The third proportional to 17,926.31 and 38,191.50 is: 81,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.31 : 38,191.50 = 38,191.50 : x
  2. Step 2: Convert to fraction form
    17,926.31/38,191.50 = 38,191.50/x
  3. Step 3: Cross multiply
    17,926.31x = 38,191.50 × 38,191.50
  4. Step 4: Simplify right side
    17,926.31x = 1,458,590,672.25
  5. Step 5: Solve for x
    x = 1,458,590,672.25/17,926.31
  6. Step 6: Final answer
    x = 81,365.91

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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.