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Finding the Third Proportional to 38,682.56 and 52,189.31

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Solution

The third proportional to 38,682.56 and 52,189.31 is: 70,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682.56 : 52,189.31 = 52,189.31 : x
  2. Step 2: Convert to fraction form
    38,682.56/52,189.31 = 52,189.31/x
  3. Step 3: Cross multiply
    38,682.56x = 52,189.31 × 52,189.31
  4. Step 4: Simplify right side
    38,682.56x = 2,723,724,339.22
  5. Step 5: Solve for x
    x = 2,723,724,339.22/38,682.56
  6. Step 6: Final answer
    x = 70,412.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.