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Finding the Third Proportional to 23,166 and 34,860.38

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Solution

The third proportional to 23,166 and 34,860.38 is: 52,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 34,860.38 = 34,860.38 : x
  2. Step 2: Convert to fraction form
    23,166/34,860.38 = 34,860.38/x
  3. Step 3: Cross multiply
    23,166x = 34,860.38 × 34,860.38
  4. Step 4: Simplify right side
    23,166x = 1,215,245,745.14
  5. Step 5: Solve for x
    x = 1,215,245,745.14/23,166
  6. Step 6: Final answer
    x = 52,458.16

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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.