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Finding the Third Proportional to 20,158 and 30,257

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Solution

The third proportional to 20,158 and 30,257 is: 45,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158 : 30,257 = 30,257 : x
  2. Step 2: Convert to fraction form
    20,158/30,257 = 30,257/x
  3. Step 3: Cross multiply
    20,158x = 30,257 × 30,257
  4. Step 4: Simplify right side
    20,158x = 915,486,049
  5. Step 5: Solve for x
    x = 915,486,049/20,158
  6. Step 6: Final answer
    x = 45,415.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.