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Finding the Third Proportional to 20,273 and 30,328

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Solution

The third proportional to 20,273 and 30,328 is: 45,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273 : 30,328 = 30,328 : x
  2. Step 2: Convert to fraction form
    20,273/30,328 = 30,328/x
  3. Step 3: Cross multiply
    20,273x = 30,328 × 30,328
  4. Step 4: Simplify right side
    20,273x = 919,787,584
  5. Step 5: Solve for x
    x = 919,787,584/20,273
  6. Step 6: Final answer
    x = 45,370.08

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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.