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Finding the Third Proportional to 39,162 and 59,662.50

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Solution

The third proportional to 39,162 and 59,662.50 is: 90,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,162 : 59,662.50 = 59,662.50 : x
  2. Step 2: Convert to fraction form
    39,162/59,662.50 = 59,662.50/x
  3. Step 3: Cross multiply
    39,162x = 59,662.50 × 59,662.50
  4. Step 4: Simplify right side
    39,162x = 3,559,613,906.25
  5. Step 5: Solve for x
    x = 3,559,613,906.25/39,162
  6. Step 6: Final answer
    x = 90,894.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.