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Finding the Third Proportional to 25,085.25 and 34,167

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Solution

The third proportional to 25,085.25 and 34,167 is: 46,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,085.25 : 34,167 = 34,167 : x
  2. Step 2: Convert to fraction form
    25,085.25/34,167 = 34,167/x
  3. Step 3: Cross multiply
    25,085.25x = 34,167 × 34,167
  4. Step 4: Simplify right side
    25,085.25x = 1,167,383,889
  5. Step 5: Solve for x
    x = 1,167,383,889/25,085.25
  6. Step 6: Final answer
    x = 46,536.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.