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Finding the Third Proportional to 25,015 and 35,182

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Solution

The third proportional to 25,015 and 35,182 is: 49,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,015 : 35,182 = 35,182 : x
  2. Step 2: Convert to fraction form
    25,015/35,182 = 35,182/x
  3. Step 3: Cross multiply
    25,015x = 35,182 × 35,182
  4. Step 4: Simplify right side
    25,015x = 1,237,773,124
  5. Step 5: Solve for x
    x = 1,237,773,124/25,015
  6. Step 6: Final answer
    x = 49,481.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.