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Finding the Third Proportional to 25,193 and 34,097

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Solution

The third proportional to 25,193 and 34,097 is: 46,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193 : 34,097 = 34,097 : x
  2. Step 2: Convert to fraction form
    25,193/34,097 = 34,097/x
  3. Step 3: Cross multiply
    25,193x = 34,097 × 34,097
  4. Step 4: Simplify right side
    25,193x = 1,162,605,409
  5. Step 5: Solve for x
    x = 1,162,605,409/25,193
  6. Step 6: Final answer
    x = 46,147.95

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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.