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Finding the Third Proportional to 25,412 and 37,195

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Solution

The third proportional to 25,412 and 37,195 is: 54,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412 : 37,195 = 37,195 : x
  2. Step 2: Convert to fraction form
    25,412/37,195 = 37,195/x
  3. Step 3: Cross multiply
    25,412x = 37,195 × 37,195
  4. Step 4: Simplify right side
    25,412x = 1,383,468,025
  5. Step 5: Solve for x
    x = 1,383,468,025/25,412
  6. Step 6: Final answer
    x = 54,441.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.