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Finding the Third Proportional to 39,162 and 58,835

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Solution

The third proportional to 39,162 and 58,835 is: 88,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,162 : 58,835 = 58,835 : x
  2. Step 2: Convert to fraction form
    39,162/58,835 = 58,835/x
  3. Step 3: Cross multiply
    39,162x = 58,835 × 58,835
  4. Step 4: Simplify right side
    39,162x = 3,461,557,225
  5. Step 5: Solve for x
    x = 3,461,557,225/39,162
  6. Step 6: Final answer
    x = 88,390.72

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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.