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Finding the Third Proportional to 25,191 and 35,244

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Solution

The third proportional to 25,191 and 35,244 is: 49,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191 : 35,244 = 35,244 : x
  2. Step 2: Convert to fraction form
    25,191/35,244 = 35,244/x
  3. Step 3: Cross multiply
    25,191x = 35,244 × 35,244
  4. Step 4: Simplify right side
    25,191x = 1,242,139,536
  5. Step 5: Solve for x
    x = 1,242,139,536/25,191
  6. Step 6: Final answer
    x = 49,308.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.