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Finding the Third Proportional to 38,314.69 and 57,525.19

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Solution

The third proportional to 38,314.69 and 57,525.19 is: 86,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.69 : 57,525.19 = 57,525.19 : x
  2. Step 2: Convert to fraction form
    38,314.69/57,525.19 = 57,525.19/x
  3. Step 3: Cross multiply
    38,314.69x = 57,525.19 × 57,525.19
  4. Step 4: Simplify right side
    38,314.69x = 3,309,147,196.91
  5. Step 5: Solve for x
    x = 3,309,147,196.91/38,314.69
  6. Step 6: Final answer
    x = 86,367.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.