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Finding the Third Proportional to 38,015.50 and 59,634

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Solution

The third proportional to 38,015.50 and 59,634 is: 93,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,015.50 : 59,634 = 59,634 : x
  2. Step 2: Convert to fraction form
    38,015.50/59,634 = 59,634/x
  3. Step 3: Cross multiply
    38,015.50x = 59,634 × 59,634
  4. Step 4: Simplify right side
    38,015.50x = 3,556,213,956
  5. Step 5: Solve for x
    x = 3,556,213,956/38,015.50
  6. Step 6: Final answer
    x = 93,546.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.