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Finding the Third Proportional to 39,141 and 52,433.25

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Solution

The third proportional to 39,141 and 52,433.25 is: 70,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,141 : 52,433.25 = 52,433.25 : x
  2. Step 2: Convert to fraction form
    39,141/52,433.25 = 52,433.25/x
  3. Step 3: Cross multiply
    39,141x = 52,433.25 × 52,433.25
  4. Step 4: Simplify right side
    39,141x = 2,749,245,705.56
  5. Step 5: Solve for x
    x = 2,749,245,705.56/39,141
  6. Step 6: Final answer
    x = 70,239.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.